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