Question

Consider the two vectors, A and B, for which the length and angle are given below. What would be the x and y components of the the vector sum C = A + B? length of A = 3.606, angle A makes with respect to x-axis = 236.31 degrees length of B = 4.243, angle C makes with respect to x-axis = 45.000 degrees

Cx=

Cy=

Answer 1

Answer:

cx = 1

Cy = 0

Explanation:

A = 3.606 angle 236.31 degree from + x axis

B = 4.243 angle 45 degree from + X axis

according to question

$\overrightarrow{C}=\overrightarrow{A}+\overrightarrow{B}$

By using the components of vectors

$C_{x}=A_{x}+B_{x}$

$C_{x}=3.606 Cos236.31+4.243 Cos45$

$C_{x}=-2+3=1$

$C_{y}=A_{y}+B_{y}$

$C_{y}=3.606 Sin236.31+4.243 Sin45$

$C_{y}=-3+3=0$