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Chapter 9: Q. 4 (page 612)

If $v = 3 w$ , then the two vectors v and w are ___.

Short Answer

Expert verified

If $v = 3 w$ , then the two vectors v and w are parallel.

Step by step solution

01

Step 1. Given Information

We are given an incomplete statement about the dot product.

We have to complete the given statement

02

Step 2. Completing the Statement

Two vectors v and w are parallel if there exists a non-zero scalar $α$ such that $v = α w$ .

So, for $v = 3 w$ , $α$ is 3 .

Hence, the vectors v and w are parallel.

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Most popular questions from this chapter

If $P = (- 3, 1) a n d Q = (x, 4)$ , find all numbers x such that the vector represented by $\overset{⇀}{P Q}$ has length 5.

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

$(5, 300 °)$

Find zw and $\frac{z}{w}$ . Leave the answers in polar form.

$z = 1 - i w = 1 - \sqrt{3} i$

In Problems 13–28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

$r = 4$

In Problems 39–54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.

$(8.1, 5.2)$

See all solutions

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