Question

If two vectors are perpendicular to each other then which of these is zero

(a) scalar product or dot product (b) vector product or cross product

(c) both (a) and (b) (d) none​

Answer 1

option a- scalar product or dot product will be zero

Answer 2

If two vectors are perpendicular to each other then the scalar product or dot product is zero. (Option a)

• The dot product of two vectors (say A and B) is represented by A.B and is equal to ABcosθ (if θ is the angle between them)
• If vectors are perpendicular, i.e. the angle between them is 90° then the value of ABcos90° is zero.
• While cross product is of two vectors is equal to ABsinθ and the value of sin90 is 1.
• Hence, the scalar or dot product of perpendicular vectors is zero.