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Chapter 10: Q 25. (page 801)

Find u+vandu-valso sketch u,v,u+v,u-v

role="math" localid="1649595165778" u=1,-2andv=-3,6

Short Answer

Expert verified

The required value ofu+v=-2,4andu-v=4,-8.

Step by step solution

01

Step 1. Given information. 

We have given vectoru=1,-2andv=-3,6

02

Step 2. Find the values of u+v and u-v.

u+v=x1+x2,y1+y2=1+-3,-2+6=1-3,-2+6=-2,4

and

u-v=x1-x2,y1-y2=1--3,-2-6=1+3,-2-6=4,-8

03

Step 3. Sketch u , v u+v and u-v

The graph of vector u+v.

The graph of vector u-v.

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Most popular questions from this chapter

In Exercises 36鈥�41 use the given sets of points to find:

(a) A nonzero vector N perpendicular to the plane determined by the points.

(b) Two unit vectors perpendicular to the plane determined by the points.

(c) The area of the triangle determined by the points.

P(1,6),Q(0,鈭�3),R(鈭�5,4)

(Hint: Think of the xy-plane as part of 鈩�3.)

If u脳v=uv, what is the geometric relationship between u and v?

Find a vector of length 3 that points in the direction opposite to1,-2,3.

What is meant by the parallelogram determined by vectors u and v in 鈩�3? How do you find the area of this parallelogram?

Calculate each of the limits:

limh鈫�011+h-1h.
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