Show that the two vectors A = 2i cap + 3j cap and B = 6i cap - 4j cap are mutually perpendicular.
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1
Answer:
Let
A
=2
i
^
+3
j
^
−4
k
^
and
B
=a
i
^
+b
j
^
+c
k
^
Given
A
and
B
are at right angles.
⇒
A
⋅
B
=0
⇒2a+3b−4c=0
Only option B, satisfies the above relation.
i.e a=4,b=4,c=5
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