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For any two vectors -> aand -> bwe alw...

For any two vectors ` -> a`and ` -> b`we always have `| -> adot -> b|lt=| -> a|| -> b|`(Cauchy-Schwartz inequality).

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NCERT-VECTOR ALGEBRA-SOLVED EXAMPLES
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  3. Find | vec a- vec b|,if two vector vec aand vec bare such that | ...

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  4. Find the projection of the veca=2 hat i+3 hat j+2 hat kon the vecb= ha...

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  6. Find angle thetabetween the vectors veca= hat i+ hat j- hat kand ...

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  7. Find the angle between two vectors vec(a) and vec(b) with magnitude 2 ...

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  8. Show that the points A(2 hat i- hat j+ hat k), B( hat i-3 hat j-5 hat...

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  9. Consider two points P and Q with position vectors vec( O P)=3 vec( a)...

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  10. Find the vector joining the points P(2, 3, 0)and Q( 1, 2, 4)directed...

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  11. Find the unit vector in the direction of the sum of the vectors, vec...

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  12. Write the direction ratios of the vector -&gt; a= hat i+ hat j-2 hat ...

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  13. Represent graphically a displacement of 40 km, 30owest of south.

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  14. Classify the following measures as scalars and vectors.(i) 5 seconds...

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  15. In Figure, which of the vectors are: (i) Collinear (ii) Equal (iii) C...

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  16. Find the values of x, y and z so that the vectors vec a=x hat i+2 hat...

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  17. Let vec a= hat i+2 hat jand vecb=2 hat i+ hat j. Is | vec a|=| vec b...

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  18. Find unit vector in the direction of vector vec a=2 hat i+3 hat j+ ha...

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  19. Find a vector in the direction of vector vec a= hat i-2 hat jthat has...

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  20. If with reference to the right handed system of mutually perpendicula...

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