or
or
The magnitude of a vector is the length of the vector. To calculate the magnitude of a vector, we use the following formula:
||A|| = √(A_x^2 + A_y^2 + A_z^2)
where:
Given the vector A = 10î + 10ĵ - 5k, its magnitude is:
||A|| = √(10^2 + 10^2 + (-5)^2) = √(225) = 15
Therefore, the answer is 15.
