Question

Find a unit vector parallel to the resultant of the vectors

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Resultant Vector R is the Sum of vectors A and B

R = A + B

= ( 2i + 3j + 4k ) - ( 3i - 5j + k )

= 2i + 3j + 4k - 3i + 5j - k

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

= -i + 0 j + 3k = - i + 3k

we know that

============

Full Vector = Unit Vector × Magnitude of Full Vector

=> Unit Vector = Full Vector / Magnitude of Full Vector

Now

magnitude of R =square root of ( ( - 1 ) square + 3 square ) = square root ( 1 + 9 ) = square root ( 10 )

Thus Unit vector along the direction of R

= Vector R / Magnitude of R

=( - i + 3k ) / sqaure Root ( 10 )

Hope it helps you...