Question

Question in attachment

Answer 1

@ybarrap

Answer 2

@ybarrap can you show me step by step? please

Answer 3

Are these projections, dot products or some other operation?

Answer 4

I dont know..

Answer 5

what do you think?

Answer 6

I'm not familiar with the \(\large \downarrow\) notation.

Answer 7

just say its dot projections I guess

Answer 8

is it perpendicular ??

Answer 9

Dot products are easy.

Let's do that. In a sense, dot products are projections, but then they should have just put a dot there then, lol

Answer 10

lol.. do the easier ones

Answer 11

dot products then @ybarrap

Answer 12

did you do them?

Answer 13

I don't think that these are dot products because in c and d they ask for magnitudes and directions.

It must be this, projections of one vector onto another:

http://en.wikipedia.org/wiki/Vector_projection

Have you been studying these?

Answer 14

yeah but can you do it so I know how to do it lol

Answer 15

entire # 4 please

Answer 16

@ybarrap

Answer 17

Ok, the projection of v onto w is
a)
$$
\large{
\vec v \downarrow\vec w\\
\vec v \cdot \cfrac{\vec w}{|\vec w|}
}
$$
b)
Similarly,
$$
\large{
\vec w \downarrow\vec v\\
\vec w \cdot \cfrac{\vec v}{|\vec v|}
}
$$
c)
Magnitude depends of \(\vec w\) because we are doing a dot product with this vector and a unit vector.
d)
The direction depends on \(\vec v\) because it is the unit vector on which we are projecting.

Answer 18

Can you take it from here?

Answer 19

is that it for q#4?

Answer 20

can you help me with one more please ? @ybarrap

Answer 21

@ybarrap

Answer 22

yes?

Answer 23

one sec