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Chapter 10: Q 11 (page 801)

Find a vector parallel to $<a, b, c>$ but twice as long.

Short Answer

Expert verified

The required vector is $<2 a, 2 b, 2 c>$ .

Step by step solution

01

Given information

Given a vector $<a, b, c>$

02

Finding the required vector

The required vector in the same direction but twice may be found by multiplying the given vector with a scalar 2.

So, the vector is:

$<2 a, 2 b, 2 c>$

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Most popular questions from this chapter

Find the norm of the vector. $v = (3, - 4)$

In Exercises 30–35 compute the indicated quantities when $u = (- 3, 1, - 4), v = (2, 0, 5), and w = (1, 3, 13)$

role="math" localid="1649434688557" $v \times w and w \times v$

In Exercises 37–42, find $||v||$ and find the unit vector in the direction of v.

$v = <\frac{1}{5}, \frac{1}{3}>$

What is the definition of the cross product?

Give precise mathematical definitions or descriptions of each of the concepts that follow. Then illustrate the definition with a graph or algebraic example, if possible.

the formal $δ - M, N - \in,$ , and N–M definitions of the limit statements $\lim_{x \to c} f (x) = \infty, \lim_{x \to \infty} f (x) = L,$ and $\lim_{x \to \infty} f (x) = \infty$ , respectively

See all solutions

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