Final answer:
To find the value of a unit vector in the direction of vector A=5 i −12j, you need to divide vector A by its magnitude.
Step-by-step explanation:
To find the value of a unit vector in the direction of vector A=5i-12j, we need to divide vector A by its magnitude. The magnitude of vector A can be found using the formula: |A| = sqrt(Ax^2 + Ay^2), where Ax and Ay are the perpendicular components of vector A.
Given that A = 5i-12j, we have Ax = 5 and Ay = -12. Substituting these values into the formula, we get the magnitude of vector A as: |A| = sqrt(5^2 + (-12)^2) = sqrt(25 + 144) = sqrt(169) = 13.
Therefore, the unit vector in the direction of vector A is obtained by dividing vector A by its magnitude: (5i-12j)/13.