Find the vector projv u.
-v = 3j, u = 4i + 3k
A) $\frac { 4 } { 9 } \mathbf { i } + \frac { 1 } { 3 } \mathbf { j } + \frac { 1 } { 3 } \mathbf { k }$
B) $\frac { 3 } { 10 } \mathrm { j }$
C) $\frac { 4 } { 9 } \mathrm { i } + \frac { 1 } { 3 } \mathrm { j }$
D) 0

Question

Find the vector projv u.
-v = 3j, u = 4i + 3k 
A) $\frac { 4 } { 9 } \mathbf { i } + \frac { 1 } { 3 } \mathbf { j } + \frac { 1 } { 3 } \mathbf { k }$
B) $\frac { 3 } { 10 } \mathrm { j }$
C) $\frac { 4 } { 9 } \mathrm { i } + \frac { 1 } { 3 } \mathrm { j }$
D) 0

Quizplus · Accepted Answer

The vector projection of u onto v is zero because u and v are orthogonal (dot product is zero).

Find the Vector Projv U 49i+13j+13k\frac { 4 } { 9 } \mathbf { i } + \frac { 1 } { 3 } \mathbf { j } + \frac { 1 } { 3 } \mathbf { k }94​i+31​j+31​k

Find the Vector Projv U $\frac { 4 } { 9 } \mathbf { i } + \frac { 1 } { 3 } \mathbf { j } + \frac { 1 } { 3 } \mathbf { k }$