If |A×B|=3AB, then the value of |A+B| is: 

1. (A2+B2+AB3)1/2

2. A+B

3. (A2+B2+3AB)1/2

4. (A2+B2+AB)1/2

Subtopic:  Scalar Product | Vector Product |
 68%
From NCERT
AIPMT - 2004
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If  | A + B | = |A|  = | B| then angle between A and B will be:

1.  90°

2. 120°

3. 0°

4. 60°

Subtopic:  Resultant of Vectors |
 67%
From NCERT
AIPMT - 2001
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The vector sum of two forces is perpendicular to their vector difference. In this case, the two forces: 

1. Are equal

2. Have the same magnitude

3. Are not equal in magnitude

4. Cannot be predicted

Subtopic:  Resultant of Vectors |
 70%
From NCERT
AIPMT - 2003
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If the angle between the vector A and B is θ, the value of the product (B×A)A is equal to:

1. zero

2. BA2sinθcosθ

3. BA2cosθ

4. BA2sinθ

Subtopic:  Scalar Product | Vector Product |
 59%
From NCERT
AIPMT - 2005
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If a vector (2i^+3j^+8k^) is perpendicular to the vector (4i^-4j^+αk^), then the value of α is:

1. -1

2. -12

3. 12

4. 1

Subtopic:  Scalar Product |
 75%
From NCERT
AIPMT - 2005
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If \(\vec F=2\hat i+\hat j-\hat k\) and \(\vec r=3\hat i+2\hat j-2\hat k,\) then the scalar and vector products of \(\vec F\) and \(\vec r\) have the magnitudes, respectively, as:
1.  \(5, ~\sqrt3\)
2.  \(4,~ \sqrt5\)
3.  \(10, ~\sqrt2\)
4.  \(10,~2\)
Subtopic:  Vector Product |
 70%
From NCERT
NEET - 2022
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The vectors A and B are such that: A+B=A-B.
The angle between the two vectors is:
1. \(90^\circ\)
2. \(60^\circ\)
3. \(75^\circ\)
4. \(45^\circ\)

Subtopic:  Resultant of Vectors |
 80%
From NCERT
AIPMT - 2006
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A and B are two vectors and θ is the angle between them. If A×B=3A.B, then the value of θ will be:

1. 60o

2. 45o

3. 30o

4. 90o

Subtopic:  Scalar Product | Vector Product |
 80%
From NCERT
AIPMT - 2007
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Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is:
                 

1.  0.5 N

2.  1.5 N

3.  34 N

4.  3 N

Subtopic:  Resultant of Vectors |
 52%
From NCERT
AIPMT - 2008
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Six vectors a through f have the magnitudes and directions indicated in the figure. Which of the following statements is true? 

1. b+c=f

2. d+c=f

3. d+e=f

4. b+e=f

Subtopic:  Resultant of Vectors |
 74%
From NCERT
AIPMT - 2010
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