Which of the following vectors is an element of the subspace W=span{(1,1,0),(0,1,1)}? (a) (2,0,-2) (b) (-1,0,-1) (c) (1,4,3) Choices: - (a) only - (b) only -(c) only - (a) & (b) only - (a) & (c) only - (b) & (c) only - all of the above - none of the above

Which of the following vectors is an element of the subspace W=span{(1,1,0),(0,1,1)}? (a) (2,0,-2) (b) (-1,0,-1) (c) (1,4,3) Choices: - (a) only - (b) only -(c) only - (a) & (b) only - (a) & (c) only - (b) & (c) only - all of the above - none of the above

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

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Question

Which of the following vectors is an element of the subspace W=span{(1,1,0),(0,1,1)}?
(a) (2,0,-2)
(b) (-1,0,-1)
(c) (1,4,3)

Choices:

- (a) only

- (b) only

-(c) only

- (a) & (b) only

- (a) & (c) only

- (b) & (c) only

- all of the above

- none of the above

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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