Courses

Vectors & Three Dimensional Geometry Test - 1 Notes - Class 12

Class 12: Vectors & Three Dimensional Geometry Test - 1 Notes - Class 12

The document Vectors & Three Dimensional Geometry Test - 1 Notes - Class 12 is a part of Class 12 category.
All you need of Class 12 at this link: Class 12
Page 1

CBSE TEST PAPER-01
CLASS - XII MATHEMATICS (Vectors & Three Dimensional Geometry)
Topic: - Vectors
1. Is the measure of 5 seconds is scalar or vector? 
2. Find the sum of the vectors.
? ?
2 ,     2 4 5  6 7 a i j k b i j k c i j k = - + = - + + = - -         
?

3. Find the direction ratios and the direction cosines of the vector
? ?
2 7 3 r i j k = - - 
?

4.
Find the angle between vectors    3, 2     . 6 a and b if a b a b = = =
     

5.
Vectors   a and b
 
be such that
2
3,  ,
3
a and b = =
 
then a b ×
 
is a unit vector.
Find angle between  a and b
 
.

6. Find the unit vector in the direction of the sum of the vectors
? ? ? ?
2 2 5 ,  2 3 a i j k b i j k = + - = + +
 
? ?

7.
Show that the points
? ?
( )
? ?
( )
? ?
( )
2 , 3 5 , 3 4 4 A i j k B i j k C i j k - + - - - - ? ? ?
are the
vertices of right angled triangle.

8.
Show that the points
? ?
( )
? ?
( )
?
( )
2 3 5 , 2 3 7 A i j k B i j k and C i k - + + + + - ? ? ?
are
collinear.

9.
If , , a b c
  
are unit vector such that 0 a b c + + =
  
find the value of . . . a b b c c a + +
     

10.
If
? ? ? ? ?
2 2 3 ,  2  , 3 a i j k b i j k c i j = + + = - + + = +
  
? ? ?
are such that   a b is to c ? + ?
  
is
then find the value of ? . Use Code STAYHOME200 and get INR 200 additional OFF Use Coupon Code

Track your progress, build streaks, highlight & save important lessons and more!

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;