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.
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
14.
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
15.
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|
16.
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
17.
A vector A in 3D is given by A = Ax i-hat + Ay j-hat + Az k-hat. Its magnitude is:
A.
Ax + Ay + Az
B.
sqrt(Ax + Ay + Az)
C.
sqrt(Ax² + Ay² + Az²)
D.
Ax² + Ay² + Az²
ANSWER :
C. sqrt(Ax² + Ay² + Az²)
18.
A vector A makes 120° with the positive x-axis. Its x-component is:
A.
Positive
B.
Negative
C.
Zero
D.
Cannot be determined
ANSWER :
B. Negative