Find two unit vectors that are parallel to yz plane and are orthogonal to the vactor 3i-j+2k.

Condition 1: given any generic vector ai+bj+cj, they're parallel to xy if a=0
Condition 2: to be orthogonal to 3i-j+2k their dot product is 0, ie
Condition 3: their lenght is 1, ie
You get a system of 3 equations ( the first being easily a=0), solution of which gives you the vectors you require

I'll do the first one for you. it isn't very hard at all.on number one, you have (50 × 3), which equals 150, and (3 × 3), which equals 9. after you establish that, you add 150 and 9 together. so, (150 + 9) equals 159.this means that 53 × 3 = 159.