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

cx = 1

Cy = 0

Step-by-step 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`