Question

At what angle the vertical component of a vector is maximum?
a) 0°
B) 30°
C) 45°
D) 90°

Answer 1

Answer:a

Explanation:

Answer 2

The vertical component of a vector is maximum at d) 90°.

Any vector has two components: Horizontal and vertical.

• Angle subtended by any vector with the horizontal axis will decide the components of vector.
• The horizontal component of any vector is the magnitude of the vector multiplied with the cosine value of angle made by the vector with horizontal axis.
• Vertical component of any vector is the magnitude of the vector multiplied with the sine value of angle made by the vector with horizontal axis.

Let there be a vector A which makes an angle α with the horizontal direction.

• So, horizontal component = |A| cos α
• and vertical component = |A| sin α

Value of vertical component is maximum when sin α is maximum, which is at α = 90°, sin α = 1.