Question

Vectors  and  are shown in the figure. Vector  is given by  =  - . The magnitude of vector  is 16.0 units, and the magnitude of vector  is 7.00 units. What is the angle of vector , measured counterclockwise from the +x-axis?

Answer 1

Answer

Diagram can be written as

$\overrightarrow{A} = -16sin42(i) + 16cos42(j)$

=-10.7(i) + 11.89(j)

$\overrightarrow{B}= -7cos31(i) - 7sin31(j) \\=-6 (i) -3.6(j)$

v

vector c = vector b -vector a

4.7(i)-15.89(j)

$\theta=tan^{-1}(15.89/4.7)=73.5^°$

vector in 4 column of coordinate axis

angle will -73.5 degree

Means

286.47 degree