# Topic: Chapter 6: Applications of Vector Algebra (Test 3)

Topic: Chapter 6: Applications of Vector Algebra
Q.1
If the direction cosines of a line are then
A. c = ±3
B. c = ±√3
C. c > 0
D. 0 < c < 1
Explaination / Solution:
No Explaination.

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Q.2
The vector equation points = (ˆ i - 2 ˆ j - ˆ k ) + t(6 ˆ i - ˆ k ) represents a straight line passing through the
A. (0, 6, -1) and (1, -2, -1)
B. (0, 6, -1) and (-1, -4, -2)
C. (1, -2, -1) and (1, 4, -2)
D. (1, -2, -1) and (0, -6,1)
Explaination / Solution:
No Explaination.

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Q.3
If the distance of the point (1,1,1) from the origin is half of its distance from the plane x + y + z + k = 0 , then the values of k are
A. ±3
B. ±6
C. -3, 9
D. 3, -9
Explaination / Solution:
No Explaination.

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Q.4
If the planes .(2 ˆi - λ ˆj + ˆk ) = 3 and .(4 ˆi + ˆj - μ ˆk ) = 5 are parallel, then the value of λ and μ are
A. 1/2 , -2
B. –1/2 ,2
C. – 1/2 , -2
D. 1/2 ,2
Explaination / Solution:
No Explaination.

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Q.5
If the length of the perpendicular from the origin to the plane 2x + 3y + λ z = 1 , λ > 0 is 1/5 , then the value of λ is
A. 2√3
B. 3√2
C. 0
D. 1