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CBSE Class 12 Math 2009 Solved Paper

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Question : 8
Total: 29
Write the value of p for which
→
a
 = 3
^
i
+2
^
j
+9
^
k
 and
→
b
 =
^
i
+p
^
j
+3
^
k
 are parallel vectors.
Solution:  
Two vectors
→
a
 and
→
b
 are parallel
→
a
 = 3
^
i
+2
^
j
+9
^
k
 and
→
b
 =
^
i
+p
^
j
+3
^
k
→
a
 = λ
→
b
So 3
^
i
+2
^
j
+9
^
k
 = λ (
^
i
+p
^
j
+3
^
k
)
⇒ 3
^
i
+2
^
j
+9
^
k
 = λ
^
i
+λp
^
j
+λ3
^
k
⇒ λ = 3 , pλ = 2 and 9 = 3λ
⇒ p =
2
3
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