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Chapter 9: Q. 70 (page 604)

Find the direction angle of v for each vector.
$v = - i + 3 j$

Short Answer

Expert verified

The angle of v is $108 . 5^{o}$ .

Step by step solution

01

Step 1. Given information

We have been given a vector $v = - i + 3 j$ .

We have to find its direction.

02

Step 2. Write the formula

The angle between the vector and complex axisi is given as

$α = \tan^{- 1} \frac{b}{a}$

03

Step 3. Substitute the values

$α = \tan^{- 1} \frac{3}{- 1} α = \tan^{- 1} - 3 α = - 71 . 5^{o}$

Since the vector is located in the second quadrant, the angle will be $108 . 5^{o}$ .

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Most popular questions from this chapter

In Problems 61–66, graph each pair of polar equations on the same polar grid. Find the polar coordinates of the point(s) of intersection and label the point(s) on the graph.

$r = 3; r = 2 + 2 \cos θ$

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

$(- 3.1, 182 °)$

The difference formula for cosine is $\cos (A - B) =________.$

Identify and graph each polar equation. Verify your graph using a graphing utility

$r = 1 + \sin θ$

find each quantity if $v = 3 i - 5 j$ and $w = - 2 i + 3 j$

$||v + w||$

See all solutions

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