Unit vector in the direction of the vector ā= 4i+41j
+ 2K is
Options
1/(21 + 27 +E)
0 (21+27+ )
1 / (21 + 2 – E)
O 1(21-23 +7)
Clear Response
Answers
Answered by
8
Answer:a
=4
i
^
−3
j
^
+2
k
^
Let
b
=x
i
^
+y
j
^
+z
k
^
it masses equal angles with coordinate axes.
⇒
x
2
+y
2
+z
2
x
=cosθ
x
=cosθ
y
=
x
2
+y
2
+z
2
y
=cosθ
z
=
x
2
+y
2
+z
2
z
⇒x=y=z
∴b=x(
i
^
+
j
^
+
k
^
)
∣
b
ˉ
∣=
3
⇒
x
2
+x
2
+x
2
=
3
⇒3x
2
=3
⇒k=±1
∴b=
i
^
+
j
^
+
k
^
orb=−(
i
^
+
j
^
+
k
^
)
Projection of
a
or
b
⇒
∣
b
ˉ
∣
a
.
b
⇒
3
x(4−3+2)
⇒±
3
(3)
=±
3
Step-by-step explanation:
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