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

13.
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)
14.
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)
15.
A vector A makes angle θ with the x-axis. Its x and y components are respectively:
A.
A sinθ and A cosθ
B.
A cosθ and A sinθ
C.
A tanθ and A
D.
A/cosθ and A/sinθ
ANSWER :
B. A cosθ and A sinθ
16.
A vector has components Ax = 3 m and Ay = 4 m. Its magnitude is:
A.
3.5 m
B.
7 m
C.
5 m
D.
1 m
ANSWER :
C. 5 m
17.
A unit vector associated with vector A is defined as:
A.
A/|A|
B.
A × |A|
C.
A + |A|
D.
1/A
ANSWER :
A. A/|A|
18.
The magnitude of a unit vector is:
A.
Zero
B.
Greater than 1
C.
Equal to 1
D.
Depends on the original vector
ANSWER :
C. Equal to 1