Define a set of (non-orthogonal) base vectors a = J + K, + K and c 1+J. q = i +4j and r = − (a) Establish their reciprocal vectors and hence express the vectors p = 3i—2j+k, -2i+j+ k in terms of the base vectors a, b and c. (b) Verify that the scalar product p q has the same value, −5, when evaluated using either set of components.
Define a set of (non-orthogonal) base vectors a = J + K, + K and c 1+J. q = i +4j and r = − (a) Establish their reciprocal vectors and hence express the vectors p = 3i—2j+k, -2i+j+ k in terms of the base vectors a, b and c. (b) Verify that the scalar product p q has the same value, −5, when evaluated using either set of components.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
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