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If vec(a),vec(b)" and "vec(c) are three ...

If `vec(a),vec(b)" and "vec(c)` are three vectors, such that `vec(a)+vec(b)+vec(c)=vec(0)`, then prove that `vec(a)xxvec(b)=vec(b)xxvec(c)=vec(c)xxvec(a)`.

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If vec(a), vec(b) and vec(c) are three vectors such that vec(a) + vec(b) + vec(c) = vec(0) , then prove that vec(a) xx vec(b) = vec(b) xx vec(c) = vec(c) xx vec(a) .

Simplify [vec(a)-vec(b)vec(b)-vec(c)vec(c)-vec(a)] .

For any three vectors vec(a), vec(b) and vec(c) , prove that vec(a) xx (vec(b) - vec(c)) = (vec(a) xx vec(b)) - (vec(a) xx vec(c)) .

If vec(a)= vec(b) + vec( c) , then write the value of vec(a).(vec(b) xx vec(c ))

ARIHANT PRAKASHAN-VERY SIMILAR TEST 7-Section B (60 MARKS)
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  2. If vec(a), vec(b) and vec(c) are three mutually perpendicular vectors...

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  3. If vec(a),vec(b)" and "vec(c) are three vectors, such that vec(a)+vec(...

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  4. If hat(a), hat(b), hat(c) are unit vectors and hat(a) xx (hat(b) xx ha...

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  13. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

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  17. If y =(sin^(-1) x)^2, prove that (1-x^2)y2 - xy1 - 2 = 0

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