If a vector p is 6m in the x- direction and vector Q is 8m in the y- direction what is value of vector p+Q
To find the sum of vectors p and Q, we must add their components together. Vector p has a magnitude of 6m in the x-direction, so its components are (6, 0) in Cartesian coordinates. Vector Q has a magnitude of 8m in the y-direction, so its components are (0, 8).
Adding the components of p and Q, we get:
(6, 0) + (0, 8) = (6 + 0, 0 + 8) = (6, 8)
So, the sum of vectors p and Q is vector (6, 8).
To find the value of vector p + Q, we need to add the x-components and the y-components separately.
Given:
Vector p = 6 m in the x-direction, so its components are (6, 0)
Vector Q = 8 m in the y-direction, so its components are (0, 8)
Adding the x-components:
p_x + Q_x = 6 + 0 = 6
Adding the y-components:
p_y + Q_y = 0 + 8 = 8
Therefore, the value of vector p + Q is (6, 8) or 6m in the x-direction and 8m in the y-direction.