A bird moves from point (1, -2) to (4, 2). If the speed of the bird is 10 m/sec, then the velocity vector of the bird is:

(A)  5i^-2j^

(B)  54i^+2j^

(C)  0.6i^+0.8j^

(D)  6i^+8j^

Concept Questions :-

Resultant of Vectors
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Which of the following is perpendicular to i^-j^-k^ ?

(A)  i^+j^+k^

(B)  -i^+j^+k^

(C)  i^+j^-k^

(D)  None of these

Concept Questions :-

Scalar Product
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If the angle between the unit vectors a^ and b^ is 60°, then |a^-b^| is :

(A)  0

(B)  1

(C)  2

(D)  4

Concept Questions :-

Resultant of Vectors
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For the figure -

    

1.  A+B=C

2.  B+C=A

3.  C+A=B

4.  A+B+C=0

Concept Questions :-

Resultant of Vectors
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Two constant forces F1=2i^-3j^+3k^ N and F2=i^+j^-2k^ N act on a body and displace it from the position r1=i^+2j^-2k^ m to the position r2=7i^+10j^+5k^ m. What is the work done?

(A)  9 Joule

(B)  41 Joule

(C)  -3 Joule

(D)  None of these

Concept Questions :-

Scalar Product
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The two vectors A=2i^+j^+3k^ and B=7i^-5j^-3k^ are -

1.  parallel

2.  perpendicular

3.  anti-parallel

4.  None of these

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Two vectors P=2i^+bj^+2k^ and Q=i^+j^+k^ will be perpendicular if -

(A)  b=0

(B)  b=1

(C)  b=2

(D)  b=-4

Concept Questions :-

Scalar Product
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A vector perpendicular to 4i^-3j^ is -

(A)  4i^+3j^

(B)  7k^

(C)  6i^

(D)  3i^-4j^

Concept Questions :-

Scalar Product
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Angle that the vector A=2i^+3j^ makes with y-axis is -

(A)  tan-1 3/2

(B)  tan-1 2/3

(C)  sin-1 2/3

(D)  cos-1 3/2

Concept Questions :-

Scalar Product
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A vector A points, vertically upward and, B points towards north. The vector product A×B is -

1.  along west

2.  along east

3.  zero

4.  vertically downward

Concept Questions :-

Vector Product
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