Question

the unit vactor parallel to the resultant of the vectors A= 4i+3j+6k and B=-i+3j-8k is.

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Answer 1

Answer :-

Given :-

A = 4i + 3j + 6k

B = -i + 3j - 8k

To find :-

Unit vector parallel to the resultant of the vectors A and B.

Solution :-

A + B :-

› (4i + 3j + 6k) + (-i + 3j - 8k)

› 3i + 6j - 2k

Unit vector parallel to A + B :-

› √(3)² + (6)² + (-2)²

› √9 + 36 + 4

› √49

› 7

∴ Unit vector is 1/7 (3i + 6j - 2k). [a]