Question

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

Answer 1

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

Step-by-step explanation:

The magnitude of resultant vector in three dimension

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

The calculated magnitude | A | =
`√(4^2 + 3^2 + 5^2)` =
`√(50)` = 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 =
`(4)/(7)` = 0.57

and angle α = 35° approx