Question

Which of the following statements is/are true regarding vector algebra? A. In vector resolution, when a vector is resolved into two components, they are always perpendicular.

B. In vector composition, only perpendicular components can be composed into a resultant.
C. both A and B
D. none of the above

Answer 1

A) is true because a vector can always be written:

V = Vx i + Vy j where the vector V is resolved into its components

Vx and Vy where "i" represents the positive x-direction and "j" the positive y-direction (vectors i and j are unit (value 1))in the specified directions

(Note) (B) any vector (two dimensional) can be resolved into its X and Y components and hence into the resultant of (Vx^2 + Vy^2)^1/2