Question

If vector a=ai+0.5j+0.5k is unit vector, then value of 'a' would be

Answer 1

For a unit vector, we know that magnitude = 1

Magnitude is given by |a+b+c| = 1

In the given equation, b = 0.5, c = 0.5

Square root of (a² + 0.5²+0.5²) =1

squaring both sides of the equation

a² + 0.5²+0.5² = 1

a² + 0.5 =1

a² = 0.5

a= 0.707