Computing the Angle Between Two 2D Vectors

00:00 3 marks

Given the vectors $\vec{A} = (3, 4)$ and $\vec{B} = (4, -3)$, use the dot product to compute the angle between them. Express your answer in degrees.

Hint Hint

Hint

Remember, $\vec{A} \cdot \vec{B} = |\vec{A}|\,|\vec{B}|\cos\theta$. Compute each part carefully.

Answer Answer
Mark Scheme Mark Scheme
Explanation Explanation
Examiner Tips Examiner Tips
Common Errors Common Errors
Real World Context Real World Context
Focus Focus
Formula Booklet

Answer Answer

Complete Answer

90 degrees

Mark Scheme Mark Scheme

Answer Explanation Answer Explanation

Examiner Tips Examiner Tips

Common Errors Common Errors

Focus Focus

Formula Booklet

Math Editor

Welcome Back!

Create your account

Build skills for today, tomorrow, and beyond. Education to future-proof your career.

By clicking "Sign in," you agree to our Terms of Use and our Privacy Policy

Hint: The password should be at least eight characters long. To make it stronger, use upper and lower case letters, numbers, and symbols like ! " ? $ % ^ & ).