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MODERN PUBLICATION-VECTORS-Exercise
- Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...
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- Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...
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- If veca=hati-hatj, vecb= 3hatj-hatk and vecc=7hati-hatk. Find a vector...
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- Consider A(2,3,4),B(4,3,2) and C(5,2,-1) be any three points. Find the...
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- Consider A(2,3,4),B(4,3,2) and C(5,2,-1) be any three points. Find the...
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- Dot-product of a vector with vectors 3hati-5hatk,2hati+7hatj and hati+...
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- If hati+hatj+hatk, 2hati+5hatj, 3hati+2hatj-3hatk and hati-6hatj-hatk ...
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- If vecalpha=3hati+4hatj+5hatk and vecbeta=2hati+hatj-4hatk, then expre...
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- Prove that the perpendicular from the vertices to the opposite sides (...
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- Prove that in a right angled triangle the mid-point of the hypotenuse ...
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- If two medians of a triangle are equal, prove that the triangle is iso...
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- Which of the following statements are True or False : If the diagonals...
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- Prove that sum of squares of the diagonals of a parallelogram is equal...
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- In any DeltaABC prove by vectors that a^2=b^2+c^2-2 bc cos A.
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- In any DeltaABC prove by vectors that b^2=c^2+a^2-2 ca cos B.
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- In any triangle ABC, then by vectors, prove that : c^2=a^2+b^2-2ab cos...
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- Prove that, in any triangle ABC, cos B=(c^2+a^2-b^2)/(2ca).
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- With the help of vector method, prove that,cosA=(b^2+c^2-a^2)/(2bc)
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- In any triangle ABC, then by vectors, prove that : a=b cos C+c cos B.
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- Use vectors to prove that in triangleABC : b=c cos A+a cos C.
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