Question

To find a unit vector in the direction of the given vector [28,−56], follow these steps: Calculate the magnitude (length) of the vector [28,−56]

Answer 1

To find a unit vector in the direction of the given vector [28,−56], calculate its magnitude and then divide each component of the vector by its magnitude.

Step-by-step explanation:

To find a unit vector in the direction of the given vector [28,−56], you need to follow these steps:

1. Calculate the magnitude (length) of the vector [28,−56] using the Pythagorean theorem: √(28^2 + (-56)^2) = √(784 + 3136) = √3920 = 2√245.
2. Divide each component of the vector by its magnitude to obtain the unit vector: [28/2√245, (-56)/2√245] = [14/√245, -28/√245].