Question

two vectors undergo vector addition. vector a has a magnitude of 217 units and points to the north. vector b has a magnitude of 156 units and points to the west. what is the direction of the resultant vector? (the angle)

Answer 1

Step-by-step explanation:

Given that,

The magnitude of vector A = 217 units to north

The magnitude of vector B = 156 units to west

Let R is the resultant. So,

`R=√(217^2+156^2) \\\\R=267.25\ \text{units}`

Let
`\theta` is the direction of the resultant vector. So,

`\tan\theta=(y)/(x)\\\\\tan\theta=(217)/(156)\\\\\theta=\tan^(-1)\left((217)/(156)\right)\\\\\theta=54.28^(\circ)`

Hence, this is the required solution.