Find a unit vector in the direction of the resultant of vectors A ⃗ = 2i-3j+k ,B ⃗⃗ =i +j+k and C ⃗ = 3i-2j+4k
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Explanation:
We know that cross product of any two vectors yields a vector which is perpendicular to both vectors
∴
for two vectors
→
A
and
→
B
if
→
C
is the vector perpendicular to both.
→
C
=
→
A
×
→
B
=
⎡
⎢
⎣
ˆ
i
ˆ
j
ˆ
k
A
1
A
2
A
3
B
1
B
2
B
3
⎤
⎥
⎦
=
(
A
2
B
3
−
B
2
A
3
)
ˆ
i
−
(
A
1
B
3
−
B
1
A
3
)
ˆ
j
+
(
A
1
B
2
−
B
1
A
2
)
ˆ
k
.
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