If A= +4j - 2i - 3k and C= -4i -2j - 3k , which of the following numbers is closest to the magnitude of A-C ?

Nearest number = 6

Explanation:

Given vectors are,

A = 4j - 2i - 3k

   = -2i + 4j - 3k

C = -4i - 2j - 3k

Resultant vector by A - C = (-2i + 4j - 3k) - (-4i - 2j - 3k)

                                          = (-2i + 4i) + (4j + 2j) + (-3k + 3k)

                                          = 2i + 6j

Now magnitude of the vector (A - C) =

                                                             =

                                                             =

                                                             = 6.32 units

Therefore, nearest number to the magnitude of A - C will be = 6

3.2x10^7