a. We begin by defining the cross products using the vectors i, j, and k. Referring to Figure 9.4.1, explain why i, j, k in that order form a right- hand system. We then define i xj to be k- that is ix j = k. b. Now explain why i, k, and −j in that order form a right-hand system. We then define i xk to be -j- that is ix k = -j. c. Continuing in this way, complete the missing entries in Table 9.4.2. Table 9.4.2 Table of cross products involving i, j, and k. ixj=k ixk=-j jxk= jxi= kxi= kxj=
a. We begin by defining the cross products using the vectors i, j, and k. Referring to Figure 9.4.1, explain why i, j, k in that order form a right- hand system. We then define i xj to be k- that is ix j = k. b. Now explain why i, k, and −j in that order form a right-hand system. We then define i xk to be -j- that is ix k = -j. c. Continuing in this way, complete the missing entries in Table 9.4.2. Table 9.4.2 Table of cross products involving i, j, and k. ixj=k ixk=-j jxk= jxi= kxi= kxj=
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 45E
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