Vector Algebra (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 3 of 3

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Question number: 1

» Vector Algebra » Scalar and Vector Products

Appeared in Year: 2011

MCQ▾

Question

Let a,b,c be three vectors in the xyz space such that a×b=b×c=c×a0 . If A, B, C are points with position vectors a,b,c respectively, then the number of possible of the centroid of triangle ABC is –

Choices

Choice (4) Response
a.

1

b.

6

c.

3

d.

2

Question number: 2

» Vector Algebra » Scalar and Vector Triple Product

Appeared in Year: 2010

MCQ▾

Question

Let u=2i^j^+k^,v=3j^+2k^ be vectors in R3 and w be a unit vector in the xy-plane. Then the maximum possible value of (u×v)w is –

Choices

Choice (4) Response
a.

13

b.

5

c.

12

d.

17

Question number: 3

» Vector Algebra » Scalar and Vector Products

Appeared in Year: 2015

MCQ▾

Question

Let a=6i^3j^6k^ and d=i^+j^+k^ . Suppose that a=b+c where b is parallel to d and c is perpendicular to d . Then c is –

Choices

Choice (4) Response
a.

7i^2j^5k^

b.

3i^+6j^9k^

c.

4i^5j^+k^

d.

5i^4j^k^

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