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Vectors A2
Test Description: ALE
Instructions: Answer all questions to get your test result.
1) Two planes: x + 2y - 2z = 2 and 2x - 3y + 6z = 3. Find the acute angle in degree between the two planes.
A
21.8
B
40.4
C
0
D
20
2) Two planes: x + 2y - 2z = 2 and 2x - 3y + 6z = 3. The planes intersect in the straight line, find the direction of the line.
A
6i -10j - 7k
B
6i -10j + 7k
C
3i -10j - 7k
D
6i + 10j - 7k
3) Line: (2i + 2j + k) + s(i - 2j - k). Plane: x - 2y + 2z = 6. Find the acute angle (degree) between line and plane.
A
42.1
B
24.1
C
18.1
D
-18.1
4) A(-1, 2, 5) ; B(2, -2, 11). The plane passes through B and perpendicular to AB. Find the plane equation.
A
3x - 4y + z = 80
B
3x - 4y + 6z = 10
C
3x - 4y + 6z = 80
D
x - 4y + 6z = 80
5) Plane: 3x - 4y + 6z = 80. Find the acute angle (degree) between the plane and y-axis.
A
60.8
B
32.8
C
21.8
D
30.8
6) Which of the following directions is parallel to x-axis
A
0i + 10j + 0k
B
10i + 0j + 10k
C
10i + 0j + 0k
D
i + j + 0k
7) Find the distance between the point(13, 1, 4) and the plane (2x - 2y + z= 10).
A
6
B
12
C
4
D
-6
8) The direction of the line is (pi + 3j -2k), the plane has equation 2x - 2y + z= 10. Find p value if the line is parallel to the plane.
A
4
B
2
C
1
D
3
9) Which point is lies in the plane, x + 2y + 2z = 0.
A
(2, 0, -1)
B
(2, 0, 0)
C
(2, 1, -1)
D
(1, 0, -1)
10) Find dot product for (i + 2j - 2k) and (2i - 3j + 6k).
A
-16
B
4
C
16
D
0
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