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1. Given, linearly independent vectors v and w, which of the following options is always correct when:

Options are,

1 - u is orthogonal to v
2 - u is the cross product of v and w
3 - u is a unit vector
4 - w is orthogonal to v
5 - u is orthogonal to w

I'm not even sure where to start on this?
2. Ok, can anyone atleast confirm if my logic is right here?

U is the perpendicular line joining w to v since

u + projection of v on w = v

Hence, u is orthogonal to w ?
3. (Original post by Zilch)
Ok, can anyone atleast confirm if my logic is right here?

U is the perpendicular line joining w to v since

u + projection of v on w = v

Hence, u is orthogonal to w ?
Have you tried computing from the definition of ?

Are you familiar with the Gram-Schmidt orthonormalisation process?
4. (Original post by Zilch)
Given, linearly independent vectors v and w, which of the following options is always correct when:

Options are,

1 - u is orthogonal to v
2 - u is the cross product of v and w
3 - u is a unit vector
4 - w is orthogonal to v
5 - u is orthogonal to w

I'm not even sure where to start on this?
If you don't know what to do then just go through the list and test each condition. This really won't take too long.

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Updated: April 19, 2013
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