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If a, b and c are vectors such that a ....

If a, b and c are vectors such that `a .b=a .c, axx b=a xx c, a ne 0` , then show that b=c

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ARIHANT PUBLICATION-SAMPLE PAPER 1-SHORT ANSWER TYPE QUESTIONS
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  3. Using the properties of determinants? show that {:|(y+z,x,y),(z+x,z,...

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  5. Find the matrix A such that A[{:(1,2,3),(4,5,6):}]=[{:(-7,-8,-9),(2,4...

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  6. If y=log[x+sqrt(x^(2)+1)], then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+...

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  9. The two equal sides of an isosceles triangle with fixed base b are dec...

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  12. Form the differential equation of the family of circles touching the X...

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  13. Solve each of the following differential equations : x(dy)/(dx)-y= s...

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  14. Using properties of definite integrals, evaluate int(pi//6)^(pi//3)...

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  15. Find the area of the region {(x,y):0 le y le x^(2) +1,0 le y le x +1...

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