Question

p vector is the resultant of a vector and b vector and q vector is the resultant of a vector and - b bector find the sum of squares of magnitudes of p and q vector

Answer 1

p = a + b
p² = a²+ b² + 2abCosθ

q = a - b
q² = a² + b² - 2abCosθ

p² + q² = 2(a² + b²)

Sum of squares of magnitude of p and q vector is 2(a² + b²)