Page 110 - Math Course 2 (Book 2)

Transformations: Using Vectors

Solve Problems Using Vectors

KAYAKING Suppose a person is kayaking due east across a lake at 7 miles per hour. If the lake is flowing
south at 4 miles an hour, what is the resultant direction and velocity of the canoe?

A. Direction is about 60.3° south of due east with a velocity of about 8.1 miles per hour.
B. Direction is about 60.3° south of due east with a velocity of about 11 miles per hour.
C. Direction is about 29.7° south of due east with a velocity of about 8.1 miles per hour.
D. Direction is about 29.7° south of due east with a velocity of about 11 miles per hour.

Answer

Skill Practice!

Write the component form of each vector.

1. 2.

Find the magnitude and direction of RS for the given coordinates. Round to the nearest tenth.

3. R(2, –3), S(4, 9) 4. R(0, 2), S(3, 12)

5. R(5, 4), S(–3, 1) 6. R(1, 5), S(–4, –6)

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