Results for this submission Entered Answer Preview Result Co

Results for this submission Entered Answer Preview Result Correct 4i-4 4i 4i ncorrect -4i 12j incorrect 4-12 incorrect At least one of the answers above is NOT correct. (1 point) Below is a diagram of the dotted cube with edges of length 4. Suppose vectors u 4,0,0), v (0,4,0) and w 0,0,4) Find the following vectors. 2, t t

Solution

1) t = (-u) +v = (-4, 0 , 0) + ( 0,4,0) = ( -4, 4 , 0) = -4i +4j +0k

2) r = w +v +u = ( 4 , 4 , 4) ; 2r = ( 8,8 , 8)

t - 2r = ( -4 , 4 , 0) - ( 8, 8 , 8) = ( -12 , -4 , -8) = -12i -4j -8k

3) s = u +w

u +v +w + r +s +t = u +v + w + u+ w +v +u + w -u +v =2u + 3v + 3w = (8 , 0 , 0) + (0, 12 , 0) +(0,0,12)

= ( 8 , 12, 12)

= 8i + 12j +12k

4) AB = OB - OA

OB = ( 4 , 0 , 5) ; OA = (1 , 3, 0)

AB = ( 3 , -3 ,5) = 3i -3j +5k