Three non zero vectors A, B & C satisfy the relation A·B=0 & A·C=0. Then A can be parallel to:

(A)  B

(B)  C

(C)  B·C

(D)  B×C

Concept Questions :-

Scalar Product
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The scalar product of two vectors is 8 and the magnitude of vector product is 83. The angle between them is:

(A)  30°

(B)  60°

(C)  120°

(D)  150°

Concept Questions :-

Vector Product
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Given: a+b+c=0. Out of the three vectors a, b and c two are equal in magnitude. The magnitude of the third vector is 2 times that of either of the two having equal magnitude. The angles between the vectors are:

(A)  90°, 135°, 135°

(B)  30°, 60°, 90°

(C)  45°, 45°, 90°

(D)  45°, 60°, 90°

Concept Questions :-

Resultant of Vectors
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Vector A is of length 2 cm and is 60° above the x-axis in the first quadrant. Vector B is of length 2 cm and 60° below the x-axis in the fourth quadrant. The sum A+B is a vector of magnitude -

(A)  2 along + y-axis

(B)  2 along + x-axis

(C)  1 along - x-axis

(D)  2 along - x-axis

Concept Questions :-

Resultant of Vectors
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Six forces, 9.81 N each, acting at a point are coplanar. If the angle between neighboring forces are equal, then the resultant is

(A)  0 N

(B)  9.81 N

(C)  2×9.81 N

(D)  3×9.81 N

Concept Questions :-

Resultant of Vectors
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Temperature of a body varies with time as T=T0+at2+b sintK, where T0 is the temperature in Kelvin at t=0 sec & a=2/π K/s2 & b=-4K, then the rate of change of temperature dTdt at t=π sec is-

1.  8 K

2.  80 K

3.  8 K/sec

4.  80 K/sec

Concept Questions :-

Differentiation
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If the distance 's' travelled by a body in time 't' is given by s=at+bt2 then the acceleration equals

(A)  2at3+2b

(B)  2st3

(C)  2b-2at3

(D)  st2

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The velocity of a particle moving on the x-axis is given by v=x2+x where v is in m/s and x is in m. Find its acceleration in m/s2 when passing through the point x=2m.

1.  0

2.  5

3.  11

4.  30

Concept Questions :-

Differentiation
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A particle moves in the XY plane and at time t is at the point whose coordinates are t2, t3-2t. Then at what instant of time, will its velocity and acceleration vectors be perpendicular to each other?

(A)  1/3 sec

(B)  2/3 sec

(C)  3/2 sec

(D)  never

Concept Questions :-

Differentiation
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A particle moves in the x-y plane with velocity vx=8t-2 and vy=2. If it passes through the point x=14 and y=4 at t=2 sec. The equation of the path is

(A)  x=y2-y+2

(B)  x=y+2

(C)  x=y2+2

(D)  x=y2+y+2

Concept Questions :-

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