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RD SHARMA-SCALAR OR DOT PRODUCT-Solved Examples And Exercises
- If the median to the base of a triangle is perpendicular to the base, ...
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- If A D is the median of A B C , using vectors, prove that A B^2...
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- In a triangle O A B ,/A O B=90^0dot If P and Q are points of trisectio...
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- If hat a and hat b are unit vectors inclined at an angle theta , the...
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- (Pythagoras's Theorem) Prove by vector method that in a right angled...
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- Prove that; If the diagonals of a quadrilateral bisect each other a...
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- prove using vectors: The quadrilateral obtained by joining mid-poin...
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- prove by vector method that the sum of the squares of the diagonals...
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- prove that the diagonals of a rectangle are perpendicular if and on...
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- Using analytical geometry, prove that the diagonals of a rhombus are ...
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- If |a|=a and | vec b|=b , prove that ( vec a/(a^2)- vec b/(b^2))^2 ...
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- If vec a= hat i- hat j and vec b=- hat j+2 hat k , find ( vec a-2 ve...
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- Find the angles which the vector vec a= hat i- hat j+sqrt(2) hat k ma...
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- Dot product of a vector with hat i+ hat j-3 hat k , hat i+3 hat j-2 h...
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- Find vec adot vec b , when (i) vec a= hat i-2 hat j+ hat k an...
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- For what value of lambda are the vector vec a and vec b perpen...
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- If vec a and vec b are two vectors such that | vec a|=4,| vec b|=3 a...
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- Find the angles of a triangle whose vertices are A(0,-1,-2),B(3,1,4...
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- Find the projection of vec b+ vec c on vec a , where vec a = 2 hat ...
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- Find the values of x and y if the vectors vec a=3 hat i+x hat j...
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