Question
2. Find the resultant vector 2u-v when u = u=(} -2 3 5 ) Express your answer in component form.
Answer
4.6
(148 Votes)
Heidi
Expert · Tutor for 3 years
Answer
(-4, 10, 3)
Explanation
The resultant vector is found by performing vector addition and scalar multiplication. Scalar multiplication involves multiplying a vector by a number, called a scalar. In your problem, you have to multiply vector 'u' by a scalar 2. Vector addition (or vector subtraction in your case) involves adding (or subtracting) vector components. Specifically, we find the scalar multiple 2u and then subtract vector v [ie, perform the operation 2u - v]. The operation is performed for each component (x, y, and z) of the vectors.