: Consider the vectors, u =(2, – 4), v = (4, 2), and w = v – u.?

: Consider the vectors, u =(2, – 4), v = (4, 2), and w = v – u.


(a) Find the magnitude, and the direction of the vectors, u, v, and w.








) Find the area, A, of the triangle, T, the three sides of which are made by the vectors, u, v and w. What kind of triangle is T?
































(c) Find the volume of the prism the length of which is, l = 6, and the cross-section of which is the triangle made by the vectors, u and v.

: Consider the vectors, u =(2, – 4), v = (4, 2), and w = v – u.?
a) |u| = sqroot(20) = 4.47


|v| = |u|


w = (2 , 6), |w| = sqroot(40) = 6.32





direction of vector u: tan^-1(-4/2) = tan^-1(-2) = -63.4º = 116.6º


direction of vector v: tan^-1(2/4) = tan^-1(0.5) = 26.6º


direction of vector w: tan^-1(6/2) = tan^-1(3) = 71.6º