Find the magnitude of the resultant of the given two vectors
ā=î, b bar= j cap
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1
Answer:
Here,
A
=−2
i
^
+3
j
^
+
k
^
B
=
i
^
+2
j
^
−4
k
^
The resultant vector of
A
and
B
is
R
=
A
+
B
∴
R
=(−2
i
^
+3
j
^
+
k
^
)+(
i
^
+2
j
^
−4
k
^
)=−
i
^
+5
j
^
−3
k
^
R
=
(−1)
2
+(5)
2
+(−3)
2
=
1+25+9
=
35
Unit vector in the direction of resultant vector of
A
and
B
is
R
=
R
/∣
R
∣=
35
−
i
^
+5
j
^
−3
k
^
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