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Chapter 10: Q 11 (page 848)

Fill in the blanks:

Let u and v be nonzero vectors inℝ3with the same initial point. Thenrole="math" localid="1653202810378" u×v=______sinθ where θ is _____.

Short Answer

Expert verified

The required expression isu×v=uvsinθ,θis the angle between u and v.

Step by step solution

01

Given information

Two vectors u and v with the same initial point inℝ3

02

Filling in the blanks

The blanks may be filled as under:

u×v=uvsinθ,whereθ is the angle between u and v.

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Most popular questions from this chapter

In Exercises 22–29 compute the indicated quantities when u=(2,1,−3),v=(4,0,1),andw=(−2,6,5)

Find the area of the parallelogram determined by the vectors v and w.

Find u+vandu-valso sketch u,v,u+v,u-v

role="math" localid="1649603034674" u=1,-4,6andv=2,-4,7

What is the definition of the triple scalar product for vectors u, v and w in ℝ3?

Find u+vandu-valso sketch u,v,u+v,u-v

role="math" localid="1649603943715" u=3,6,11andv=1,-2,3

Find PQ→

P=-1,5,4,Q=-1,6,4
See all solutions

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