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Chapter 3: Q. 25 (page 78)

FIGURE $P 3.25$ shows vectors $\vec{A} & \vec{B}$ . Find vector $\vec{C}$ such that $\vec{A} + \vec{B} + \vec{C} = \vec{0}$ . Write your answer in component form.

Short Answer

Expert verified

The vector is $\vec{C} = - 10$ .

Step by step solution

01

Step 1. Given information

The following diagram is given

02

Step 2. The vectors

The vectors are

$\vec{A} = 4 \sin 30 + 4 \cos 60 = 4 \vec{B} = 3 \cos 20 + 3 \sin 70 = 6$

Therefore, the third vector is

$\vec{C} = - (6 + 4) = - 10$

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Most popular questions from this chapter

Let A = 4i - 2j, B = -3i + 5j, and E = 2A + 3B.
a. Write vector E in component form.
b. Draw a coordinate system and on it show vectors A, B, and E .
c. What are the magnitude and direction of vector E?

Trace the vectors in FIGURE EX3.1 onto your paper. Then find.

(a) $\vec{A} + \vec{B}$ and (b) $\vec{A} - \vec{B} .$

FIGURE $P 3.26$ shows vectors $\vec{A} & \vec{B}$ . Find $\vec{D} = 2 \vec{A} + \vec{B}$ . Write your answer in component form.

What are the $x$ - and $y$ -components of the velocity vector shown in FIGURE EX3.19?

Let $\vec{B} = (5.0 m, 30^{\circ} c o u n t e r c l o c k w i s e f r o m v e r t i c a l) .$ Find the $x a n d y$ -components of localid="1651138630094" $\vec{B}$ in each of the two coordinate systems shown in FIGURE EX3.18.

See all solutions

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