o 5 A A A Q. No. 2 Answer the following. i) Find the scalar product of (AB), Ā=î +ị and B = i j ii) State the SI unit of solid angle. iii) When a light passes obliquely from it's direction changes, This phenome SEC
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Answer:
=
i
^
+
j
^
+
k
^
b
=2
i
^
+4
j
^
−5
k
^
c
=λ
i
^
+2
j
^
+3
k
^
So,
b
+
c
=(2+λ)
i
^
+6
j
^
−2
k
^
Unit vector along
b
+
c
=
(2+λ)
2
+36+4
(2+λ)
i
^
+6
j
^
−2
k
^
=
(2+λ)
2
+40
(2+λ)
i
^
+6
j
^
−2
k
^
Given that dot product of
a
with the unit vector of
b
+
c
is equal to 1.
So, apply given condition,
(2+λ)
2
+40
(2+λ)+6−2
=1
⇒2+λ+4=
(2+λ)
2
+40
Squaring, we get
36+λ
2
+12λ=4+λ
2
+4λ+40
⇒8λ=8
⇒λ=1
Explanation:
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