Question

The magnitude of m is 29.2 meter, and the magnitude of n is 35.2 meters. if m and n are perpendicular, what is the magnitude of their sum?

Answer 1

Magnitude of sum of perpendicular vectors
`m` and
`n` is equal to:

`√(29.2^2+35.2^2)=√(2091.68)\approx 45.7\;[m]`

Answer 2

The magnitude of sum of m and n is 45.7 meters.

Explanation:

The magnitude of m is 29.2 meter, and the magnitude of n is 35.2 meters.

The magnitude of m, |m| = 29.2 m

The magnitude of n, |n| = 35.2 m

Angle between m and n is 90°

If we add m and n

Let sum of m and n is p

`\vec{p}=\vec{m}+\vec{n}`

The magnitude of p,

`|p|=√(|m|^2+|n|^2)`

`|p|=√(29.2^2+35.2^2)`

`|p|=√(852.64+1239.04)`

`|p|=√(2091.68)\approx 45.7\ m`

Hence, The magnitude of sum of m and n is 45.7 meters.