A and B are two vectors given by A = 2i^ + 3j^ and B = i^ + j^. The component of A→   parallel to B is:

1.  122i^ - j^

2.  52i^ - j^

3.  52i^ + j^

4.  3i^ - 2j^2

Subtopic:  Scalar Product |
 65%
From NCERT
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If a vector is inclined at angles, α, β, and γ with x, y, and z-axis respectively, then the value of sin2 α + sin2 β+ sin2 γ is equal to

1. 0

2. 1

3. 2

4. 12

Subtopic:  Trigonometry |
 54%
From NCERT
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If p^ is the unit vector in the direction B, then:

1.  p^ = BB

2.  p^ = B × B

3.  p^ = BB

4.  p^ = BB

Subtopic:  Resolution of Vectors |
 83%
From NCERT
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Which of the following sets of forces cannot give zero resultant?

(1) 3 N, 4 N, 5 N

(2) 9 N, 8 N, 7 N

(3) 16 N, 2 N, 17 N

(4) 30 N, 5 N, 24 N

Subtopic:  Resultant of Vectors |
 65%
From NCERT
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If two force vectors A and B of the same magnitude are arranged in the following manner, the magnitude of resultant is maximum for?

                    

(1) (I)

(2) (II)

(3) Both (II) & (III)

(4) Both (I) & (II)

Subtopic:  Resultant of Vectors |
 64%
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The minimum number of non-coplanar vectors whose vector sum can be zero is:

(1) 2

(2) 3

(3) 4

(4) 5

Subtopic:  Resultant of Vectors |
 50%
From NCERT
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The resultant vector of P and Q makes angle θ1 with P and θ2 with Q.Then-

1.  θ1 > θ2

2.  θ1 < θ2 if P > Q

3.  θ1 < θ2 if P < Q

4.  θ1 > θ2 if P = Q

Subtopic:  Resultant of Vectors |
 79%
From NCERT
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The figure shows ABCDEF as a regular hexagon. What is the value of AB + AC + AD + AE + AF?

                      

1.  AO

2.  2AO

3.  4AO

4.  6AO

Subtopic:  Resultant of Vectors |
 64%
From NCERT
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A vector A, which has magnitude 8.0 is added to a vector B which lies on the x-axis. The sum of these two vectors lies on the y-axis and has a magnitude twice the magnitude of B. The magnitude of the vector B

1.  8

2.  2 × 8

3.  85

4.  85

Subtopic:  Resultant of Vectors |
 61%
From NCERT
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If A = 2i^ + 3j^ + 6k^ and B = 3i^ + 2j^ - k^, then the unit vector in the direction of A + B is

1.  i^ - j^ - k^3

2.  i^ + j^ - k^3

3.  i^ + j^ + k^3

4.  i^ - j^ + k^3

Subtopic:  Resultant of Vectors |
 70%
From NCERT
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