In triangle △ABC, let vectors a = BC, b = CA, and point T be the centroid of triangle △ABC. Then the vector AT is equal to which of the following vectors: (a) 1/3(a+b) (b) 1/3(a-b) (c) 1/3(-a-2b) (d) 1/3(2a+b) (e) 2/3(-a+b).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
icon
Related questions
Question

In triangle △ABC, let vectors a = BC, b = CA, and point T be the centroid of triangle △ABC. Then the vector AT is equal to which of the following vectors: (a) 1/3(a+b) (b) 1/3(a-b) (c) 1/3(-a-2b) (d) 1/3(2a+b) (e) 2/3(-a+b).

Expert Solution
steps

Step by step

Solved in 1 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning