Vectors A2 Question Preview (ID: 47805)


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Which of the following directions is parallel to x-axis
a) 10i + 0j + 0k
b) 0i + 10j + 0k
c) 10i + 0j + 10k
d) i + j + 0k

Find the distance between the point(13, 1, 4) and the plane (2x - 2y + z= 10).
a) 6
b) -6
c) 4
d) 12

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) 1
b) 2
c) 3
d) 4

Which point is lies in the plane, x + 2y + 2z = 0.
a) (1, 0, -1)
b) (2, 0, -1)
c) (2, 0, 0)
d) (2, 1, -1)

Find dot product for (i + 2j - 2k) and (2i - 3j + 6k).
a) 4
b) 16
c) -16
d) 0

Plane: 3x - 4y + 6z = 80. Find the acute angle (degree) between the plane and y-axis.
a) 30.8
b) 32.8
c) 60.8
d) 21.8

A(-1, 2, 5) ; B(2, -2, 11). The plane passes through B and perpendicular to AB. Find the plane equation.
a) 3x - 4y + 6z = 10
b) 3x - 4y + z = 80
c) 3x - 4y + 6z = 80
d) x - 4y + 6z = 80

Line: (2i + 2j + k) + s(i - 2j - k). Plane: x - 2y + 2z = 6. Find the acute angle (degree) between line and plane.
a) 18.1
b) 24.1
c) 42.1
d) -18.1

Two planes: x + 2y - 2z = 2 and 2x - 3y + 6z = 3. Find the acute angle in degree between the two planes.
a) 0
b) 20
c) 21.8
d) 40.4

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) 3i -10j - 7k
c) 6i + 10j - 7k
d) 6i -10j + 7k

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