📚 How to find the magnitude and direction of a 3D vector

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If your vector is v= ⟨v_1,v_2,v_3⟩, its magnitude or length is usually denoted by the symbol ‖v‖ and is computed using the following formula:

‖v‖=√(v_1^2+v_2^2+v_3^2 )

To find the direction angles in 3D whose initial position is at the origin, use:

cos⁡α=v_1/‖v‖ ; cos⁡β=v_2/‖v‖ ; cos⁡γ=v_3/‖v‖

Q. Find the magnitude and direction of v=⟨√2,5,−7⟩.

[ramusunar]

If the vector are two such as a vector and b vector and find angle and directions