if A= 2 i cap
minus 3 j cap plus 4 cap is multiplied by a number 5, then the vector along y direction is
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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
An
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