Question

Vector A with arrow has a magnitude of 30 units and points in the positive y direction. When vector B with arrow is added to A with arrow, the resultant vector A with arrow B with arrow points in the negative y direction with a magnitude of 22 units. Find the magnitude and direction of B with arrow.

Answer 1

Answer:

Explanation:

vector A = 30 units along + Y axis

Sum of vector A and B = 22 units along - Y axis

$\overrightarrow{A}= 30 \widehat{j}$

$\overrightarrow{A}+\overrightarrow{B}= -22\widehat{j}$

$\overrightarrow{B}= -22\widehat{j}-\overrightarrow{A}$

$\overrightarrow{B}= -22\widehat{j}-30\widehat{j}$

$\overrightarrow{B}= -52\widehat{j}$

Thus, the vector B is of 52 units along - Y axis.