Solution: Find the magnitude and direction of the vector

Chapter 1, Problem 1.34

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Find the magnitude and direction of the vector represented by the following pairs of components: (a) Ax = -8.60 cm, Ay = 5.20 cm; (b) Ax = -9.70 m, Ay = -2.45 m; (c) Ax = 7.75 km, Ay = -2.70 km

Questions & Answers

QUESTION:

Find the magnitude and direction of the vector represented by the following pairs of components: (a) Ax = -8.60 cm, Ay = 5.20 cm; (b) Ax = -9.70 m, Ay = -2.45 m; (c) Ax = 7.75 km, Ay = -2.70 km

ANSWER:

Step 1 of 3

(a)

Given that , and.

Vector diagram:

The resultant vector is given as,

Substituting all known values,

The direction of the resultant vector is given as,

Substituting all known values,

Therefore, the magnitude of resultant vector  and  is  and direction is .

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back