Question

3.
If vector A - 6i^ - 6j^ + 5k^ and vector B=î + 2j^ - k^, then find a unit vector parallel to the resultant of Ā vector & B vector.​

Answer 1

Answer:

±( -1i/√5 + 8j/5√5 - 6k/5√5 )

Explanation:

a = 6i - 6j + 5j

b = i + 2j - k

a-b = 5i - 8j + 6k

a unit vector parallel to the resultant of a vector and b vector =

-(5i - 8j + 6k) ÷ √25 + 64 + 36

= (-5i + 8j - 6k) ÷ √125

= (-5i +8j - 6k) ÷ ±(5√5)

= ±( -1i/√5 + 8j/5√5 - 6k/5√5 )

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