Determine whether or not the given vectors in Rn form a basis for Rn a. v1 = (2, 0, 0, 0), v2 = (0, 7, 0, 0), v3 = (0, 0, 4, 6), v4 = (0, 0, 4, 2) b. v1 = (1, 7, −4), v2 = (3, 2, 5), v3 = (6, 5, 1), v4 = (0, 7, 4)

Determine whether or not the given vectors in Rn form a basis for Rn a. v1 = (2, 0, 0, 0), v2 = (0, 7, 0, 0), v3 = (0, 0, 4, 6), v4 = (0, 0, 4, 2) b. v1 = (1, 7, −4), v2 = (3, 2, 5), v3 = (6, 5, 1), v4 = (0, 7, 4)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section: Chapter Questions

Problem 19T: Determine whether the vectors u=6,10 and v=5,3 are orthogonal.

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Question

Determine whether or not the given vectors in Rn form a basis
for Rn
a. v1 = (2, 0, 0, 0), v2 = (0, 7, 0, 0), v3 = (0, 0, 4, 6), v4 = (0, 0, 4, 2)
b. v1 = (1, 7, −4), v2 = (3, 2, 5), v3 = (6, 5, 1), v4 = (0, 7, 4)

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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