Chapter 10: Q. 13 (page 824)
Give an example of three nonzero vectors u, v and w in such that but . What geometric relationship must the three vectors have for this to happen?
Short Answer
Let .
If , then u is parallel to .
Chapter 10: Q. 13 (page 824)
Give an example of three nonzero vectors u, v and w in such that but . What geometric relationship must the three vectors have for this to happen?
Let .
If , then u is parallel to .
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If u and v are vectors in such that , what can we conclude about u and v?
Sketch the parallelogram determined by the two vectors and . How can you use the cross product to find the area of this parallelogram?
In Exercises 24-27, find and the component of v orthogonal tou.
In Exercises 22–29 compute the indicated quantities when
Find the area of the parallelogram determined by the vectors u and v.
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