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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: Q10. (page 637)

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

Short Answer

Expert verified

The vector with initial pointP(2,1)and terminal point $Q (- 3, 4)$ in component form is $<- 5, 3>$ .

Step by step solution

Step 1. Identifying the coordinates of the points.

Using Component form formula $<x_{1}, y_{1}>, <x_{2}, y_{2}> = <x_{2} - x_{1}, y_{2} - y_{1}>$

Step 2. Determining the component form.

The component form of the vector is given as

$= <- 3 - 2, 4 - 1>$

$= <- 5, 3>$

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Most popular questions from this chapter

Determine whether the given vectors are perpendicular.

$u = 2 i - 8 j, v = - 12 i - 3 j$

Sketching Vectors Sketch the given vector with initial point (4,3), and find the terminal point.

$u = ⟨ 4, - 3 ⟩$ .

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

$\begin{array}{l} P (5, 3) \\ Q (1, 0) \end{array}$

Writing Vectors in Terms of $i$ and $j$ Write the given vector in terms of $i$ and $j$

$u = ⟨ - 2, 10 ⟩$

Determine Dot products and angle between vectors.

a) $u \cdot v$

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

$u = <2, 0>, v = <1, 1>$

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

Short Answer

Step by step solution

Step 1. Identifying the coordinates of the points.

Step 2. Determining the component form.

One App. One Place for Learning.

Most popular questions from this chapter

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