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Class 12-commerce NCERT Solutions Maths Chapter 10: Vector Algebra

Vector Algebra Exercise Ex. 10.1

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Solution 5

Solution 3

Vector Algebra Exercise Ex. 10.2

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The position vector of mid -  point R of the vector joining points  P (2,3,4) and Q (4,1,-2) is given by,

begin mathsize 12px style OR with rightwards harpoon with barb upwards on top equals fraction numerator open parentheses 2 straight j with overbrace on top plus 3 straight J with overbrace on top plus 4 straight k with overbrace on top close parentheses plus open parentheses 4 straight i with overbrace on top plus straight j with overbrace on top plus 2 straight k with overbrace on top close parentheses over denominator 2 end fraction equals fraction numerator open parentheses 2 plus 4 close parentheses straight i with overbrace on top left parenthesis 3 plus 1 right parenthesis straight j with overbrace on top plus left parenthesis 4 minus 2 right parenthesis straight k with overbrace on top over denominator 2 end fraction
equals fraction numerator 6 straight j with overbrace on top plus 4 straight J with overbrace on top plus 2 straight k with overbrace on top over denominator 2 end fraction equals 3 straight j with overbrace on top plus 2 straight J with overbrace on top plus straight k with overbrace on top end style

Solution 17

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Solution 19

Vector Algebra Exercise Ex. 10.3

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Solution 18

Vector Algebra Exercise Ex. 10.4

Solution 1

Solution 2

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Solution 12

Vector Algebra Exercise Misc. Ex.

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Solution 19