Solution:
From the problem,
The vector dot product.
A. B = [-3i + 6j - 5k] . [-2i + 3j + k]
= [-3*-2] + [6*3] + [-5*1]
= 6 + 18 - 5
= 19 [D].
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Properties of the dot product
Please help!
theoretical calculus
2. Some properties of the dot product: (a) The Cauchy-Schwartz inequality: Given vectors u and v, show that lu-vl lullv1. When is this inequality an equality? (Hint: Use the relationship between u-v and the angle θ between u and v.) (b) The dot product is positive definite: Show that u u 2 0 for any vector u and that u u 0 only when u-0. (c) Find examples of vectors u,...
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6
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Dot product
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6.
2D vectors
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