Question

find a unit vector parallel vector to the
31 + Tj + 4 R
​

Answer 1

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11th

Physics

Motion in a Plane

Mathematical Operations on Vectors

Find a unit vector parallel...

PHYSICS

Find a unit vector parallel to the resultant of the vectors

A

ˉ

=2

i

^

+3

J

^

+4

k

^

and

B

ˉ

=3

i

^

−5

J

^

.

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ANSWER

Two given vectors are:

A

=2

i

^

+3

j

^

+4

k

^

B

=3

i

^

−5

j

^

Resultant by addition of A and B

R=A+B

=(2

i

^

+3

j

^

+4

k

^

)+(3

i

^

−5

j

^

+

k

^

)

=2

i

^

−3

i

^

+3

j

^

−3

j

^

+4

k

^

−

k

^

=−

i

^

+0

j

^

+3

k

^

=−

i

^

+3

k

^

unitvector=

Magnitudeoffullvector

Fullvector

magnitude of R=

1

2

+9

2

=

10

Thus Unit vector along the direction of R

=Vector R / Magnitude of R

=

10

−i+3k