Given that a=i+2j,b=2i-j and c=3i+5j.find
i.a-b
ii.a-c
iii.the unit vector in the direction of a-c, write down the vector parallel to a-c.
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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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