It is given: ∥m∥=4,∥n∥=2,⟨m,n⟩=135 find the norm of the vector m+3n.

rocedwrp

rocedwrp

Answered question

2021-01-15

It is given: ∥m∥=4,∥n∥=2,⟨m,n⟩=135 find the norm of the vector m+3n.

Answer & Explanation

Yusuf Keller

Yusuf Keller

Skilled2021-01-16Added 90 answers

Now
∥m+3n∥2=⟨m+3n,m+3n⟩=⟨m,m⟩+⟨m,3n⟩+⟨3n,m⟩+⟨3n,3n⟩=∥m∥2+6⟨m,n⟩+9∥n∥2=16+6×135+18=16+6×135+18=844
Therefore
∥m+3n∥=844

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