Question

A certain vector in the xy plane has an x component of 4 m and a y component of 10 m. It is then rotated in the xy plane so its x component is doubled. Its new y component is about:

Answer 1

New length of component y' = 7.2 m (Approx)

Explanation:

Given:

Length of component x = 4 m

Length of component y = 10 m

New length of component x' = 8 m

Find:

New length of component y' = ?

Computation:

Length vector of rotation = √x² + y²

Length vector of rotation = √4² + 10²

Length vector of rotation = √16 + 100

Length vector of rotation = √116

Length vector of rotation = √x'² + y'²

√116 = √x'² + y'²

116 = x'² + y'²

116 = 8² + y'²

New length of component y' = 7.2 m (Approx)