The vector perpendicular to I+j+k is
a) i-j+k. b)i-j-k
c)-i-j-k. d)3i+2j-5k
please solve it by steps please
Answers
Answered by
0
Answer:
=
i
^
−
j
^
+
k
^
b
=
i
^
+
j
^
+
k
^
Let
n
^
be a unit vector perpendicular to both
a
and
b
.
Thus,
n
^
=
∣
∣
∣
∣
a
×
b
∣
∣
∣
∣
a
×
b
∣
∣
∣
∣
a
×
b
∣
∣
∣
∣
=(
i
^
−
j
^
+
k
^
)×(
i
^
+
j
^
+
k
^
)=
k
^
−
j
^
+
k
^
−
i
^
+
j
^
−
i
^
=2(−
i
^
+
k
^
)
⇒
n
^
=
2
2
2(−
i
^
+
k
^
)
=
2
(−
i
^
+
k
^
)
Answered by
9
Answer:
D) 3i+2j-5k
Explanation:
Dot product of perpendicular vectors must be zero.
(3i+2j-5k).(i+j+k) = 3(1)+2(1)-5(1)
= 3+2-5
= 0
Hence,D is the correct answer6
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