Question

Vector V is in standard position and makes an angle of 50° with the positive x-axis. Its magnitude is 18. Write V in component form a, b and in vector component form ai + bj. (Round each answer to one decimal place.)

Answer 1

11.57 units east, 13.79 units upwards

11.57i + 13.79j

Explanation:

V = 18 units at an angle of 50° to the positive x-axis

In component Form, this is how each component is calculated

a = 18cos50° = 11.57 units east

b = 18sin50° = 13.79 units upwards

check if your answer is correct

`\sqrt{11.57^(2) +13.79^(2) } = 18.0`

In vector component form ai + bj = 11.57i + 13.79j