VECTORS EXTRA QUESTIONS

VECTORS EXTRA QUESTIONS

AIM FOR A

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Source: google image

Vectors Exercise Questions

Vectors Exercise Questions

https://drive.google.com/file/d/1Gb8Qec3yMy_59RCDO7JucxreCzfegZAM/view?usp=sharing

 

7 cool jobs require math learning

These 7 cool jobs all require math learning

1. Animator

When watching balloons whisk a house away in Pixar’s new summer movie Up, most of us weren’t thinking about math. But in animation, math and art go together like peanut butter and marshmallow fluff. Trigonometry helps rotate and move characters, while algebra creates the special effects to make images shine. Even artists have to pay attention in math class!

2. Game Designer

Designing board or video games is a cool job. Who wouldn’t want to playtest Candyland, Monopoly, or Clue? Every game designer needs to have a good grasp of game theory – a branch of applied mathematics. Aspiring video game programmers should also study trigonometry, physics, and calculus. Chances are, board game designers will need to know probability, even if they won’t be designing math games.

3. Robotics Engineer

Robotics engineers design, test, and maintain robots! It’s a growing industry and the employment outlook is sunny. Before you quit your day job and run off to design a house-cleaning robot, hit the math books. Most Robotics Engineers have a master’s or doctorate. According to the article, “Learn About Robots” robotics may be the most inter-disciplinary of engineering endeavors.

4. Roller Coaster Designer  

As you ride a roller coaster through loops, dives, and dips, you’re busy wondering if you’re going to lose your lunch, not calculating velocity. But there are many different curves in a coaster and roller coaster engineers need to understand the mathematical properties of these curves, as well as physics, kinematics, and material strength. Like all cool jobs, roller coaster design is competitive — there are only 100 roller coaster design companies in the U.S.!

5. Jet Fighter Pilot

The thrilling life of a jet fighter pilot seems worlds away from the math classroom. Movies like “Top Gun,” show pilots streaking through the sky in futuristic birds, not calculating how much fuel they have left or figuring out the direction and speed of the wind. But pilots have to complete major math problems on the fly, and when they’re zipping through the air at 700 mph, math skills are life saving.

6. Sports Announcer

What is his batting average? How many bases has he stolen? When those sports personalities give the play-by-play, they have to pay attention to the numbers: percentages, player stats, the clock. And sports casting is done live, which means there’s no room for errors.

7. Professional Photographer

We think of shutterbugs as artists, not mathematicians. But professional photographers need mad math skills. They have to calculate depth of field, determine the correct film speed, shutter speed, aperture, and exposure — and more. And to capture the moment, they need to do it all in a matter of minutes. Who knew so much math went into one photograph?

All jobs now require math

10 seriously cool jobs

1. Animator

Wasn’t Toy Story 3 the coolest family film of the year? According to When Will I Use Math? an Animator uses linear algebra to show the way that an object is rotated and shifted and made larger and smaller. As well as prized jobs at Disney and Pixar, animators can work in computer and console game development, television programming, broadband internet animation, broadcast and web advertising, education, research, and military and corporate training. Pixar reveal their animation secrets on their How We Do It website photo credit: danorbit.
2. Special Effects Director
Whether it’s Inception or Sesame Street, special effects are used to give that WOW factor to a lot of what you watch on TV and at the cinema. Science daily explains that mathematics provides the language for expressing physical phenomena and their interactions. Powerful computing equipment, numerical methods and algorithms are used to make most of the spectacular feats in the visual effects industry. Plus Maths interviews a visual effects director who worked on the Harry Potter films.
photo credit: frankhg

3. Computer Scientist
Whether it’s the millionaire behind Facebook, the secretive geniuses behind Google or the cool creative types at Apple, maths will be needed by those wanting to be part of creating the next generation of gadgets and apps. When Will I Use Math? breaks it down. Computer scientists use mathematics as they span a range of topics from theoretical studies of algorithms, and the computation of implementing computing systems in hardware and software.
photo credit: mark knol

4. Computer Games Designer

My kids love playing Little Big Planet. To build that one game, with all it’s user generated levels, requires some serious maths skills. From Dreambox learning, “Every game designer needs to have a good grasp of game theory – a branch of applied mathematics. Aspiring video game programmers should also study trigonometry, physics, and calculus.”
photo credit: naosuke ii

5. Forensic Scientist
How CSI made cutting up dead bodies a cool career choice is outside the scope of this article, but chances are your child may indeed want to do this for a living. So why do they need maths? When Will I Use Math? provides the answer: Forensic scientists use maths principles to figure out the location of the victim when the blood was shed and even the type of weapon or impact that caused the victim’s injury.
photo credit: Funky64 (www.lucarossato.com)
6. Astronaut

I have no desire to travel into space, it’s too far and there’s not much choice of restaurants. But it’s still a cool job! When Will I Use Math explains that Astronauts use maths in order to make precise mathematical calculations, from how the spacecraft leaves Earth’s atmosphere to how the astronauts pilot the craft.
photo credit: _ltwp
7. Cryptananlyst
Chances are your child has read a story or two about code breaking and may even, like my daughter, enjoy making up codes themselves. Cryptanalysts, as explained by When Will I Use Math? use maths to among other things; follow mathematical theorems and formulas, encode and encrypt systems and databases and devise systems for companies to help keep hackers out and to protect the company and consumer.
photo credit: smallcaps
8. Statistician

Children love statistics! If you doubt it, give your child a copy of the Guinness Book of World Records. In fact my son loves nothing better than to pore over the Google Analytics statistics for Maths Insider! From When Will I Use Math? “Statisticians apply their mathematical and statistical knowledge to the design of surveys and experiments; the collection, processing, and analysis of data; and the interpretation of the experiment and survey results.” Plus Maths interviews a Government Statistician who travels the world as part of her job. photo credit: lumaxart


9. Architect
As an apprentice civil engineer, I spent a summer working on a the Severn River Crossing project, a bridge between England and Wales in the UK. I built a bridge! Now cool is that! When Will I Use Math states correctly that Mathematics is needed to analyse and calculate structural problems in order to engineer a solution that will assure that a structure will remain standing and stable.
photo credit: maistora
10. Doctor
There’s more to medicine than just knowing the parts of the body. When Will I Use Math explains that Physicians use maths in every day practice. For example, they use statistics and probability to interpret tests results. When a patient is treated for an illness, the probability is used to determine which type of treatment to use, if any. Hany Farid’s Math Kids website has an excellent example of how doctors who don’t understand statistics could make a wrong diagnosis.
 

Why do we need to study Integration?

Why do we need to study Integration?

by M. Bourne

The Petronas Towers
of Kuala Lumpur

Often we know the relationship involving the rate of change of two variables, but we may need to know the direct relationship between the two variables. For example, we may know the velocity of an object at a particular time, but we may want to know the position of the object at that time.
To find this direct relationship, we need to use the process which is opposite to differentiation. This is called integration (or antidifferentiation).
The processes of integration are used in many applications.
The Petronas Towers in Kuala Lumpur experience high forces due to winds. Integration was used to design the building for strength.

Sydney Opera House

The Sydney Opera House is a very unusual design based on slices out of a ball. Many differential equations (one type of integration) were solved in the design of this building.