# Math Help - A vector equation question..

1. ## A vector equation question..

I have this question. I'll go through the previous parts so you have an idea of what it's asking.

Given u = (4, 0, -2), v = (3, 1, -1), w = (2, 1, 6) find

(a) the angle between u and w (98 degrees)

(b) the component of u along v (14/11)

(c) the projection of v along w 1/41(2,1,6) i.e (2/41, 1/41, 6/41)

And finally (d) a vector constructed from (c) and perpendicular to w

I'm struggling with this final part... I just don't understand it..

2. Ok well I have attempted it.

I guess as the vector is perpendicular to w, then w. (another vector) = 0.

Now the vector is constructed from the projection of v along w. I have tried (2,1,6) . lambda (2/41, 1/41, 6/41) but got no where..

Am I along the right lines?