Vector Algebra MCQs Part VI

1)
a)
b)
c)
d)

p

2)
a) are collinear
b) form an equilateral triangle
c) form a scalene triangle
d) form a right angled triangle

3)
a)

9 p2  = 4 q2

b)

4 p2   =  9 q2

c) 9 p = 4 q
d) 4 p = 9 q

4)
a) the AM of a and b
b) the GM of a and b
c) the HM of a and b
d) equal to zero

5)
a)
b)
c)
d)

6)
a)
b)
c)
d)

7)
a) i
b)
c)
d) None of the given

8)
a)
b)
c)
d)

9) A tetrahedron has vertices at 0 ( 0,0,0 ), A (1,2,1 ) B ( 2,1,3 ) and C (-1, 1,2 ). Then the angle between the faces OAB and ABC will be
a)
b)
c)

30o

d)

90o

10)
a)
b)
c)
d) 0

11)
a) 3
b) 2
c) 1
d) 0

12)
a) -2
b) -1
c) 0
d) 1

13)
a) c < 0
b) 0 < c < 4/3
c) -4/3 < c < 0
d) c > 0

14) The median AD of the triangle ABC is bisected at E, BE meets AC in F , then AF : AC =
a) 3/4
b) 1/3
c) 1/2
d) 1/4

15)
a) 0
b) 1
c) -1
d) arbitrary scalar

16)
a)
b)
c)
d) 0

17)
a)
b)
c)
d) None of the given

18)
a)
b)
c)
d)

19)
a)
b)
c)
d)

20)
a)
b)
c)
d)

21)
a)

Cos-1 (4/9)

b)

Cos-1 (8/3)

c)

Cos-1 (7/9)

d) None of the given

22)
a) intersect
b) do not intersect
c) coplanar
d) None of the given

23)
a)
b)
c)
d) None of the given

24)
a)
b)
c)
d) None of the given

25) The equation of the sphere whose centre has the position vector ( 3i + 6j – 4k ) and which touches the plane r.( 2i – 2j – k ) = 10 is
a)
b)
c)
d) None of the given

26)
a) 3
b) 4
c) 5
d) 9

27)
a) ( 0, 1, 2 )
b) ( 1, 3, 4 )
c) ( – 1, 3, 4 )
d) None of the given

28)
a)
b)
c)
d)

29)
a) – 2i + 7j + 13 k
b) 2i + 7j – 13 k
c) – 2i – 7j + 13 k
d) 2i + 7j + 13 k

30)
a) 10i + 2j – 5k
b) – 8i – 4j – k
c) 8i + 4j + k
d) – 10i – 2j – 5k

31)
a)
b)
c)
d) None of the given

Answers

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