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MODERN PUBLICATION-VECTORS-Exercise
- Let veca,vecb,vecc,vecd be the position vectors of the four distinct p...
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- Show that the line joining any vertex of a parallelogram to the mid-po...
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- Prove that the figure formed by joining the mid-points of the pairs of...
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- Show that if P,A,B are any three points, then lambda vec(PA)+mu vec(PB...
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- Obtain the dot product of the vectors : veca=veci-hatj+hatk and vecb=v...
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- Write the magnitude of a vector veca in terms of dot product.
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- If veca=7hati+hatj-4hatk and vecb=2hati+6hatj+3hatk find the projectio...
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- Let veca=2hati+3hatj+2hatk and vceb=hati+2hatj+hatk. Find the projecti...
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- Find the projection of the vector hati-hatj on the vector hati+hatj.
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- Find veca.vecb If veca=3hati-hatj+2hatk and vecb=2hati+3hatj+3hatk
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- Find veca.vecb If veca=2hati-hatj+hatk and vecb=2hatj-hatk.
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- Evaluate the product (3 hata-5hatb) cdot(2hata+7hatb)
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- If veca is a unit vector and (vecx - veca) cdot (vecx + veca) = 8, th...
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- If veca is a unit vcetor and (vecx-veca)*(vecx+veca)=80, then find |ve...
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- If vecp is a unit vcetor and (vecx-vecp)*(vecx+vecp)=80, then find |ve...
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- Find |vecx|, if for a unit vector veca, (vecx - veca)cdot(vecx+veca)...
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- Find the angle between the vectors : hati-hatj and hatj-hatk.
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- Find the angle between the vectors : hati+hatj+hatk and hati+hatj-hatk...
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- Find the angle between the vectors veca=hati-2hatj+3hatk and vecb=3hat...
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- Find the angle between the vectors : veca=hati+hatj-hatk and vecb=hati...
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