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Chapter 10: Q 12 (page 801)

Find a vector parallel to $<a, b, c>$ but half as long and pointing in the opposite direction.

Short Answer

Expert verified

The required vector is: $<- \frac{a}{2}, - \frac{b}{2}, - \frac{c}{2}>$

Step by step solution

Given information

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

Finding the vector

The vector is in opposite direction so negative sign has to be applied and half means multiplying the vector with scalar $\frac{1}{2}$ .

The required vector is:

$<- \frac{a}{2}, - \frac{b}{2}, - \frac{c}{2}> .$

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Most popular questions from this chapter

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

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Find a vector parallel to $<a, b, c>$ but half as long and pointing in the opposite direction.

Short Answer

Step by step solution

Given information

Finding the vector

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Most popular questions from this chapter

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Find a vector parallel to a,b,cbut half as long and pointing in the opposite direction.

Short Answer

Step by step solution

Given information

Finding the vector

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Statistics

Discrete Mathematics

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

Find a vector parallel to $<a, b, c>$ but half as long and pointing in the opposite direction.