2. Given two vectors A = 3i + 2j + 5k and B = 3i + 3j + hk, determine the
value of h if A and B are perpendicular.
Answers
Answered by
0
Answer:
Step-by-step explanation:
We have a=(3
i
^
−2
j
^
+
k
^
) , b=(
i
^
−3
j
^
−4
k
^
) and c=(2
i
^
+
j
^
−4
k
^
)
Since b+c=a ⇒ (
i
^
−3
j
^
−4
k
^
) +(2
i
^
+
j
^
−4
k
^
) =(3
i
^
−2
j
^
+
k
^
)
so, a, b and c formed a triangle.
Also,
a
.
c
= (3
i
^
−2
j
^
+
k
^
) .(2
i
^
+
j
^
−4
k
^
)=(+6−2−4)=0
So,
a
and
c
are perpendicular.
Therefore, a,bandc form a right angled triangle.
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Answered by
0
Answer:
h= -3
Step-by-step explanation:
If two vectors are perpendicular to each other then the dot product will be equal to zero
hence
A . B = cos90°
(3i + 2j + 5k) . (3i + 3j + hk) = 0
9+6+5h = 0
h= -3
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