Value of will be equal to

Question

Question

Answer 1

Concept:

Dot Product: it is also called the inner product or scalar product

Let the two vectors are and

Dot Product of two vectors is given by: = |a||b| cos θ

Where || = Magnitudes of vectors a, || = Magnitudes of vectors b and θ is the angle between a and b

Formulas of Dot Product:

Calculation:

Let

Similarly,

Therefore

= xî + yĵ + zk̂

Hence, required value of

= (xî + yĵ + zk̂ ).(xî + yĵ + zk̂ )

= x² + y² + z² = |a|²