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Class XII Maths Vectors 5
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Question 1
If |
+ 
| = |
– 
|, which of the following options is not true?
+ | = | – |, which of the following options is not true? Question 2
Let 
= A cosθ 
+ A sinθ 
be any vector. Another vector 
which is normal to 
is –
= A cosθ + A sinθ be any vector. Another vector which is normal to is – Question 3
The vectors
= 
a +
a +
3 and 
= 
a –
2 –
are perpendicular to each other. The positive value of a is -
= a +a +3 and = a –2 – are perpendicular to each other. The positive value of a is - Question 4
If A = 
+ 
and B = 
– 
, then a vector C perpendicular to both A and B and having a magnitude equal to 3 is -
+ and B = – , then a vector C perpendicular to both A and B and having a magnitude equal to 3 is - Question 5
In the adjoining vector diagram, what is the angle (in degree) between 
and 
? (Given: C = B/2).
and ? (Given: C = B/2). Question 6
The value of [(
+ 2
–
), (
–
), (
–
–
)] is equal to the box product:
+ 2–), (–), (––)] is equal to the box product: Question 7
If 
= 
+ 
+ 
, 
= 
– 
+ 
, 
= 
+ 2
– 
, then the value of 
is equal to
= + + , = – + , = + 2 – , then the value of is equal to Question 8
Given a parallelogram OACB. The length of the vectors 
, 
and 
are a, b and c respectively. The scalar product of the vectors 
and 
is -
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May 21JEE & BITSAT
