Hello, how do I solve the following problem?

http://img9.imageshack.us/img9/9532/awdn.jpg

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- August 24th 2011, 08:17 AMArtifactVector length problem
Hello, how do I solve the following problem?

http://img9.imageshack.us/img9/9532/awdn.jpg - August 24th 2011, 08:29 AMPlatoRe: Vector length problem
- August 24th 2011, 08:36 AMArtifactRe: Vector length problem
so I guess 2a is 2* 29 and 3b is 3*58? Or am I off track?

http://img718.imageshack.us/img718/284/asssom.jpg - August 24th 2011, 08:41 AMPlatoRe: Vector length problem
- August 24th 2011, 08:48 AMArtifactRe: Vector length problem
ok, I guess I don't know how to find 2a-3b, I thought I had to find the length of a first and then find the length of b. After that I would multiply a with 2 and b with 3. So 2a-3b would be = 58 - 174. But I guess that is the wrong way of doing it.

- August 24th 2011, 08:52 AMPlatoRe: Vector length problem
- August 24th 2011, 11:26 AMProfessor111Re: Vector length problem
Hi there (=. Before we start let us understand how scalar multiplication and subtraction of vectors works.

**Scalar multiplication:**

http://upload.wikimedia.org/math/e/7...fe80b5bfdd.png

**Subtraction of two vectors**

can be geometrically defined as follows: to subtract b from a, place the end points of a and b at the same point, and then draw an arrow from the tip of b to the tip of a. That arrow represents the vector a − b, as illustrated below:

http://upload.wikimedia.org/wikipedi...ubtraction.svg

The difference of a and b is

http://upload.wikimedia.org/math/6/2...6b927567c7.png

now find the resulting vector and find it's magnitude which you seem to know how to do.

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