akanbiwaris24434 akanbiwaris24434
  • 08-03-2020
  • Physics
contestada

find the angle made by the vector 4i+3j+5k on x axis​

Respuesta :

mithless670 mithless670
  • 08-03-2020

The angle formed by vector  with x-axis is nearly 35°

Explanation:

The magnitude of resultant vector in three dimension

If vector A = 4i + 3j + 5k

The calculated magnitude  | A | = [tex]\sqrt{4^2 + 3^2 + 5^2}[/tex] = [tex]\sqrt{50}[/tex] = 7

If the angle formed with x-axis by this vector is α

Then cosα = x-component of vector divided by its magnitude

or cosα = [tex]\frac{4}{7}[/tex] = 0.57

and angle α = 35° approx

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