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Answer 1 · 2016-09-30T20:45:40

Refer to the Explanation.

The Unit Vector in the direction of #vec(AB)# can definitely be

written as #1/10vec(AB).#

This is justified because of an Operation known as

The Multiplication of a Vector by a Scalar.

For Example, multiplication of #vecx=2i+3j-4k# by a scalar #-1/2#,

denoted as #-1/2(vecx), or, -1/2(2i+3j-4k)#, is another #vecy#

given by, #vecy=-1/2vecx#

#=(-1/2*2)i+(-1/2*3)j+(-1/2*-4)k#

#=-i-3/2j+2k.#