Answer:
(A) The y-component of r must be equal to the y-component of c
(B) The x-component of r must be equal to the x-component of c
(C) The z-component of r must be equal to the z-component of c
(F) The unit vector r must be equal to the unit vector c.
Explanation:
If two vectors are equal there are some conditions must be satisfy for the two vectors to be equal.
Let us suppose 2 vectors as,
[tex]A=a_{1}i+ a_{2}j+a_{3}k[/tex] and
[tex]B=b_{1}i+ b_{2}j+b_{3}k[/tex]
The conditions for the above two vectors should be equal are:
(1) [tex]a_{1}=b_{1}[/tex], [tex]a_{2}=b_{2}[/tex], and [tex]a_{3}=b_{3}[/tex].
(2) Unit vector of A must be equal to unit vector of B.
(3) Magnitude of both the vectors should be equal.
Now, according to question and observing above conditions of equality for r and c to be equal, the statements should be true are:
(A) The y-component of r should be equal to the y-component of c
(B) The x-component of r should be equal to the x-component of c
(C) The z-component of r should be equal to the z-component of c
(F) The unit vector r should be equal to the unit vector c.
