Scalars & Vectors (Addition and Subtraction, Scalar and Vector Products, Unit Vector, Resolution of a Vector) NEET Questions

Scalars & Vectors (Addition and Subtraction, Scalar and Vector Products, Unit Vector, Resolution of a Vector) MCQ Questions

7.
Two vectors of magnitudes 3 and 4 units are perpendicular to each other. The magnitude of their resultant is:
A.
7 units
B.
1 unit
C.
5 units
D.
12 units
ANSWER :
C. 5 units
8.
Two vectors of magnitudes 5 and 3 units. The maximum and minimum values of their resultant are:
A.
8 and 2
B.
15 and 0
C.
8 and 0
D.
5 and 3
ANSWER :
A. 8 and 2
9.
The subtraction A - B is defined as:
A.
The difference of magnitudes (A-B)
B.
A + B
C.
A + (-B)
D.
(-A) + B
ANSWER :
C. A + (-B)
10.
In the parallelogram law of vector addition, the resultant R of vectors A and B is represented by:
A.
Either side of the parallelogram
B.
The shorter diagonal
C.
The longer diagonal
D.
The diagonal from the common tail
ANSWER :
D. The diagonal from the common tail
11.
The magnitude of the resultant of two vectors A and B with angle θ between them is:
A.
A + B cosθ
B.
sqrt(A² + B²)
C.
sqrt(A² + B² + 2AB cosθ)
D.
A² + B² + 2AB cosθ
ANSWER :
C. sqrt(A² + B² + 2AB cosθ)
12.
Two equal vectors A make an angle θ with each other. The magnitude of their resultant is:
A.
2A sinθ
B.
2A cosθ
C.
2A cos(θ/2)
D.
A cosθ
ANSWER :
C. 2A cos(θ/2)