Vectors

Subject matter experts of JagranJosh have developed chapter wise practice questions of Class 12th as per the relevancy of the chapter in the CBSE board exam. This practice set contains 10 questions with detailed explanations on “Chapter: Vectors” of Mathematics.

  • Q1. ( a × b ) 2 + ( a . b ) 2 =144 and | a |=4, then | b |=

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  • Q2. If a=i+2j2k,b=2ij+kandc=i+3jkthen a( b×c ) is equal to

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  • Q3. If i+j+k, 2i+5i, 3i+2j3kandi6jk be p.v. of four points A, B, C, and respectively, then the angle between AB and CD is

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  • Q4. if | a |=| b |,then( a+b ).( ab )  is

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  • Q5.If a = 2i + j + k, b = 3i – 4j + 2k and c = i + 2j + 2k then the projection of a + b on c is-

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  • Q6. The value of ( i ^ × j ^ ) k ^ +( j ^ × k ^ ) i ^ +( k ^ × i ^ ) j ^   is:

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  • Q7. If  a , b , c  are the mutually perpendicular vectors each of magnitude unity, then | a + b + c |=

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