Solve Vector Problems: Displacements & Components | Find r, Angle, & Components

[noname1]

Here are three displacements, each in meters:
d1 = 9i + 5j - 3k
d2 = -1i + 1j + 3k
d3 = 4i + 3j + 2k What is r = d1 - d2 + d3 ((a), (b) and (c) for i, j and k components respectively)?
(d) What is the angle between r and the positive z axis?
(e) What is the component of d1 along the direction of d2?
(f) What is the component of d1 that is perpendicular to the direction of d2 and in the plane of d1 and d2?a) 14i
b) 7j
c) -4k
d) cos-1(-4/sqrt14²+7²+4²) = 104.3
e) (-9+5-9)/(sqrt(1²+²+3²) = -3.92i am having difficulty with e and f i tried e not sure if right but don't understand f

thanks in advance

 

[rl.bhat]

f) [(magnitude of d1)^2 - (the component of d1 along the direction of d2)^2]^1/2