784 words - 4 pages

Chapter 8 Practice Test

Match the point in polar coordinates with either A, B, C, or D on the graph.

1)

Solve the problem.

2)

Plot the point and find other polar coordinates (r, θ_) of the point for which:

(a) r > 0, -2π_ ≤_ θ_ < 0

(b) r < 0, 0 ≤_ θ_ < 2π_

(c) r > 0 2π_ ≤_ θ_ < 4π_

The polar coordinates of a point are given. Find the rectangular coordinates of the point.

3)

The letters r and θ_ represent polar coordinates. Write the equation using rectangular coordinates (x, y).

4)

r = 1 + 2 sin θ_

The rectangular coordinates of a point are given. Find polar coordinates for the point.

5)

( -4, 4)

A)

B)

C)

D)

The letters x and y ...view middle of the document...

17)

v = i + 2j,w = -3i + j

Solve the problem. Round your answer to the nearest tenth.

18)

A wagon is pulled horizontally by exerting a force of 60 pounds on the handle at an angle of 25 to the horizontal. How much work is done in moving the wagon 50 feet?" .

Solve the problem.

19)

A plane is headed due south with an airspeed of 210 miles per hour. A wind from a direction of S30°W is blowing at 20 miles per hour. Find the groundspeed and resulting direction of the plane, rounded to the nearest whole number.

Find the distance between the two points.

20)

= ( -1, 4, -3) and = ( 3, 0, -4)

Find the position vector for the vector having initial point P and terminal point Q.

21)

P = ( -4, -3, 0) and Q = ( 3, 4, -2)

Perform the operation.

22)

v = 5i - 6j - 5k Find .

Find the dot product v ∙_ w.

23)

v = 3i + j + 2k and w = i + 3j - 2k

Find the angle between v and w. Round to one decimal place, if necessary.

24)

v = 3i + j + 2k and w = i + 2j - 2k

Find the direction angles of each vector. Round to the nearest degree, if necessary.

25)

v = -6i + 12j + 4k

Find the indicated cross product.

26)

v = i - 3j + 4k,...

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