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Chapter 10: Q 7 (page 848)

The cross product of two parallel vectors u and v in $ℝ^{3}$ is _______ .

Short Answer

Expert verified

The answer is 0.

Step by step solution

Given information

Given two parallel vectors $u and v in ℝ^{3} .$

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The cross product of two parallel vectors u and v in $ℝ^{3}$ is 0.

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Most popular questions from this chapter

Consider the sequence of sums $\frac{1}{3}, \frac{1}{3} + \frac{1}{9}, \frac{1}{3} + \frac{1}{9} + \frac{1}{27}, \frac{1}{3} + \frac{1}{9} + \frac{1}{27} + \frac{1}{81}, \dots$

(a) What happens to the terms of this sequence of sums as k gets larger and larger?

(b) Find a sufficiently large value of k which will guarantee that every term past the kth term of this sequence of sums is in the interval (0.49999, 0.5).

If u, v and w are three vectors in $ℝ^{3}$ , which of the following products make sense and which do not?

localid="1649346164463" $(a) u \cdot (v \cdot w) (b) u \cdot (v \times w) (c) u \times (v \cdot w) (d) u \times (v \times w)$

Use the definition of the derivative to find $f'$ for each function $f$ in Exercises 39-54

$f (x) = \frac{2}{x + 1}$

In Exercises 24-27, find ${comp}_{u} v, {proj}_{u} v$ and the component of v orthogonal tou.

$u = <3, - 1, 2>, v = <- 4, - 6, 3>$

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The cross product of two parallel vectors u and v in $ℝ^{3}$ is _______ .

Short Answer

Step by step solution

Given information

Filling in the blanks

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The cross product of two parallel vectors u and v in ℝ3is _______ .

Short Answer

Step by step solution

Given information

Filling in the blanks

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Discrete Mathematics

Decision Maths

Logic and Functions

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

The cross product of two parallel vectors u and v in $ℝ^{3}$ is _______ .