  
            CBSE Guess > Papers > Important Questions > Class XII > 2011 >  Maths > Maths  By  Mrs. E.Praveen 
            CBSE CLASS XII 
              
                
                
               
			  
		       
		            
	        Vectors-3D-Lines (1Mark) 
	        
	          Page 1 of 6 
	          
	            - Find a vector in the direction of vector 
 that has magnitude 7 units.  
	            - Find 
  ,  if two vectors   are such that   .   
	            - Find the value of	            
   
	            - Find the projection of the vector 
   
	            -  If 
    are any two vectors such that  then what is the angle between      ?	              
                
	            - Find the unit vector paralle to vactors 3і+ ϳ - 3k and -2і - ϳ+ 3 k
  
	            - Find the value of λ if λі + 2ϳ + k and 5і - 9ϳ + 2k are perpendicular .
  
	            
	            - If                     
   find the angle between    and	             .  
	            
	            - Find the unit vector in the direction of	            
   
	            
	            - Write the vector equation and the direction ratio of the line	            
   
	            - Cartesian equations of a line AB are:- 
  Write the equation of a line passing through (1, 2, 3) parallel to AB.  
	            
	            -  Write the position vector of a point dividing the line segment joining points A and B with 
                  position  Vectors        
 externally in the ratio 1 : 3 , where 
                 and    .                  
	            -   If   
  find a unit vector in the direction of     
	            -  If    
 = 2j+2 k      b = 3i – 5k find     
	            -  Find ‘λ’ so that vectors   
  are perpendicular .	              
	            -  Find the Cartesian and vector equations of a line which passes through the point (1,2,3) and
	              is parallel to the line 
   
	            -  Find the unit vector perpendicular to the vectors  a = i + 3j + 4k and    b = 2i – j – 3k.	            
  
	            -  What is the  value of   i∙ ( j x k ) + j ∙ ( k x i ) + k ∙ ( i x j ) ?	            
  
	            -  Write all unit vector in X Y plane.	            
  
	            -  Find a vector of magnitude 9 units, which is perpendicular to both the vectors	            
    
               
	            
             
	              
            Submitted By Mrs. E.Praveen  
Email Id : [email protected] 		   | 
          
     
           
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