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Question 1
Find the length of the perpendicular from the point (1,2,3) to the line 
.
.
Question 2
For what value of µ are the vectors
=-2i-2j+µk ,
=-2i+4j-2k and 
=4i-2j-2k are coplanar.
=-2i-2j+µk ,=-2i+4j-2k and =4i-2j-2k are coplanar.
Question 3
Find the projection of the vector 7i+j-4k on 2i+6j+3k
Question 4
Three vector 
, 
,
satisfy the condition 
+ 
+
=0 . Evaluate the quantity μ=
+
, if 
=2,
=3 
5
, ,satisfy the condition + +=0 . Evaluate the quantity μ=+, if =2, =3 5
Question 5
Consider the function 
Where [.] denotes the greatest integer function.
Where [.] denotes the greatest integer function.What is 
equal to?
Question 6
Consider the function Where [.] denotes the greatest integer function.
Where [.] denotes the greatest integer function.What is 
equal to ?
equal to ?Question 7
Let 
and 
be non- zero complex numbers satisfying 
where 
.
and be non- zero complex numbers satisfying where .What is 
equal to?
Question 8
Let and be non- zero complex numbers satisfying where .
and be non- zero complex numbers satisfying where .Consider the following statements :
1. 
is purely imaginary.
2. 
is purely real.
Which of the above statements is /are correct?
Question 9
Let z be a complex number satisfying 
and 
and What is 
equal to ?
Question 10
Let z be a complex number satisfying and
and What is 
equal to?
equal to?
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NDAJun 16NDA
