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Chapter 3: Q. 6 (page 77)

Can a vector have a component equal to zero and still have nonzero magnitude? Explain.

Short Answer

Expert verified

Yes, a vector can have a given component along a line and still can have non-zero magnitude.

Step by step solution

01

Step 1. Given information

We need to write can a vector have a component equal to zero and still have a non-zero magnitude. We need to explain it.

02

Step 2. Explanation

Thus, A鈫�x=0,andA鈫�y=A鈫�.

A鈫�=Ax2+Ay2.

=Ay2.

Ay.

Thus, a vector can have a given component along a line and still can have non-zero magnitude.

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Most popular questions from this chapter

The position of a particle as a function of time is given by CALCr鈫�=(5i^+4j^)t2m, where t is in seconds.

a. What is the particle's distance from the origin at localid="1651417420923" t=0,2, and localid="1651417427817" 5s
?

b. Find an expression for the particle's velocitylocalid="1651417455538" v鈫�as a function of time.

c. What is the particle's speed at localid="1651417472266" t=0,2, and localid="1651417482255" 5s?

6. I Draw each of the following vectors. Then find its - and components.

a.a鈫�=3.5m/s2, negative x-direction)

b.v鈫�=440m/s,30掳below the positive x-axis )

c.r鈫�=12m,40掳 above the positive x-axis )

II Draw each of the following vectors, label an angle that specifies the vector's direction, and then find the vector's magnitude and direction.

a.A鈫�=3i^+7j^

b.a=(鈭�2i^+4.5j^)m/s2

c.v鈫�=(14i^鈭�11j^)m/s

d.r鈫�=(鈭�2.2i^鈭�3.3j^)m

a. What are the x- and y-components of vector shown in FIGURE EX3.3 in terms of the angle胃 and the magnitude E?

b. For the same vector, what are the x- and y-components in terms of the angle 胃and the magnitude E?

Suppose two vectors have unequal magnitudes. Can their sum be zero? Explain.
See all solutions

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