Vector Algebra (BITSAT Mathematics): Questions 7 - 10 of 10

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Question number: 7

» Vector Algebra » Scalar and Vector Triple Product

MCQ▾

Question

The vectors a=i^+j^+(m+1)k^ , b=i^+j^+m+k^ and c=i^j^+mk^ are coplanar for –

Choices

Choice (4) Response

a.

m=2

b.

m=12

c.

m=12

d.

No value of m

Question number: 8

» Vector Algebra » Scalar and Vector Products

MCQ▾

Question

The vectors 2i^mj^+3mk^ and (1+m)i^2mj^+k^

Choices

Choice (4) Response

a.

All real m

b.

m[2,12]

c.

m=12

d.

m<2orm>12

Question number: 9

» Vector Algebra » Scalar and Vector Triple Product

MCQ▾

Question

If a¯,b¯,c¯ are any three non-coplanar vectors, then a¯(b¯×c¯)(c¯×a¯)b¯+b¯(a¯×c¯)c¯(a¯×b¯) is equal to

Choices

Choice (4) Response

a.

2

b.

1

c.

0

d.

None of the above

Question number: 10

» Vector Algebra » Components of a Vector in 2 and 3 Dimension

MCQ▾

Question

The magnitude length of the projection of the vectors i^+2j^+k^ on the vector 4i^4j^+7k^ is

Choices

Choice (4) Response

a.

3

b.

63

c.

36

d.

13

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