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Precalculus Mathematics for Calculus

James Stewart, Lothar Redlin, Saleem Watson

$Math Studyset Vaia Explanations$ Math

7th Edition · 948 pages

ISBN: 9781337067508

Chapter 9: Q4. (page 637)

Sketch the vector indicated. (The vectors u and v are shown in the figure.)

Short Answer

Expert verified

The sketch of the vector $- v = <- 3, - 4>$

Step by step solution

Step 1. Identifying the coordinates of the points.

The coordinates of the head of the vector is $\begin{array}{l} u = 〈- 2, 3〉 \\ v = 〈3, 4〉 \end{array}$

Step 2. Applying the operations.

$- v = <- 3, - 4>$

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Most popular questions from this chapter

Magnitude of Vectors

Find $| u |, | v |, | 2 u |, |\frac{1}{2} v|, | u + v |, | u - v | & | u | - | v |$

$u = ⟨ 10, - 1 ⟩, v = ⟨ - 2, - 2 ⟩$

Dot Products

Find the indicated quantity, assuming that $u = 2 i + j, v = i - 3 j & w = 3 i + 4 j$

$(u \cdot v) (u \cdot w)$

a) The length of a vector $w = <a_{1}, a_{2}>$ is |w| = ________,

so the length of the vector u in Figure II is

|u| = __________ .

b) If we know the length |w| and direction $θ$ of a vector w,

then we can express the vector in component form as

w = _________,__________.

Express the vector with initial point Pand terminal point Qin component form.

$\begin{array}{l} P (1, 1) \\ Q (9, 9) \end{array}$

Determine Dot products and angle between vectors.

a) $u \cdot v$

b) The angle between u and v to the nearest degree.

$u = 3 i + 4 j, v = - 2 i - j$

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Sketch the vector indicated. (The vectors u and v are shown in the figure.)

Short Answer

Step by step solution

Step 1. Identifying the coordinates of the points.

Step 2. Applying the operations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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