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

(1)  0

(2)  1

(3)  2

(4)  4

Subtopic:  Resultant of Vectors |
 67%
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For the figure -

    

1.  A+B=C

2.  B+C=A

3.  C+A=B

4.  A+B+C=0

Subtopic:  Resultant of Vectors |
 69%
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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 W? [Given : W =F.r]

(A)  9 Joule

(B)  41 Joule

(C)  -3 Joule

(D)  None of these

Subtopic:  Scalar Product |
 61%
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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

Subtopic:  Vector Product |
 56%
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The linear velocity of a rotating body is given by v=ω×r, where ω is the angular velocity and r is the radius vector. The angular velocity of a body, ω=i^-2j^+2k^ and their radius vector is  r=4j^-3k^, then value of |v| will be:

1.  29 units

2.  31 units

3.  37 units

4.  41 units

Subtopic:  Vector Product |
 76%
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The displacement of a particle is given by y=a+bt+ct2-dt4. The initial velocity and initial acceleration, respectively, are: (\(Given: v=\frac{dx}{dt}~and~a=\frac{d^2x}{dt^2}\))

1.  b, -4d

2.  -d, 2c

3.  b, 2c

4.  2c, -4d

Subtopic:  Differentiation |
 77%
From NCERT
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The momentum is given by p=4t+1, the force at t=2s is-[Given: F=dPdt]

(A)  4 N

(B)  8 N

(C)  10 N

(D)  15 N

Subtopic:  Newton's Laws |
 79%
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If the momentum of a particle is given by P=(180-8t) kg m/s, then its force will be-[Given: F=dPdt]

(1)  Zero

(2)  8 N

(3)  -8 N

(4)  4 N

Subtopic:  Newton's Laws |
 83%
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If fx=x2-2x+4, then f(x) has:

1.  a minimum at x=1.

2.  a maximum at x=1.

3.  no extreme point.

4.  no minimum.

Subtopic:  Differentiation |
 66%
From NCERT
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A particle is moving along x-axis. The velocity v of particle varies with its position x as v=1x. Find velocity of particle as a function of time t given that at t=0, x=1 .

1.  v=2t+1

2.  v=12t+1

3.  v=1t

4.  None of these

Subtopic:  Integration |
 60%
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