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Prove that |vec(a) xx vec(b)| = sqrt(a^(...

Prove that `|vec(a) xx vec(b)| = sqrt(a^(2)b^(2) -(vec(a) -vec(b))^(2))`

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Prove that |vec(a)xx vec(b)|^(2)=|vec(a)|^(2)|vec(b)|^(2)-(vec(a).vec(b))^(2) =|(vec(a).vec(a),vec(a).vec(b)),(vec(a).vec(b),vec(b).vec(b))| .

For any two vectors vec a and vec b ,prove that (vec a xxvec b)^(2)=|vec a|^(2)|vec b|^(2)-(vec a*vec b)^(2)

Prove that (vec(a)-vec(b)) xx (vec(a) +vec(b))=2(vec(a) xx vec(b))

Show that | vec a xxvec b | = sqrt (vec a ^ (2) vec b ^ (2) - (vec a * vec b) ^ (2))

If vec(a) and vec(b) are unit vectors, then what is the value of |vec(a) xx vec(b)|^(2) + (vec(a).vec(b))^(2) ?

Prove that (vec(a) + vec(b)) xx (vec(a) - vec(b)) = 2 (vec(b) xx vec(a))

If |a|=a and |vec b|=b, prove that ((vec a)/(a^(2))-(vec b)/(b^(2)))^(2)=((vec a-vec b)/(ab))^(2)

If |vec a|=vec a and |vec b|, prove that ((vec a)/(a^(2))-(vec b)/(b^(2)))^(2)=((vec a-vec b)/(ab))^(2)

Prove that |vec a + vec b| = sqrt (|vec a|^2 + |vec b|^2 + 2 vec a * vec b) .

SL ARORA-Motion in a Plane-Excercise
  1. Prove that |vec(a) xx vec(b)| = sqrt(a^(2)b^(2) -(vec(a) -vec(b))^(2))

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  2. Which of the following quantities are independent of the choice of ori...

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  3. Are the commutative law and associtive law applicable to vectors subtr...

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  4. Can three vectors not in one phane giv e a zero resultant ? Can four v...

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  5. What is the differnce between the follwing data ? (i) 3 (5 km h^(-1) ,...

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  6. What was the difference between the speed of vehicle A on Day 1 ...

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  7. Is | vec A + vec B| greater than or less than |vec A| + |vec B| ? Ex...

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  8. Is |vec A - vec B| greater than or less than |vec A| + |vec B| ? Exp...

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  9. What is the property of two vectors vec A and vec B, if | vec A+ ve...

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  10. The sum and differnce of two vectors are perpendicular to each other. ...

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  11. Find the condition for two vectors to be (i) paraiiel.

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  12. If veca=x1veci+y1vecj and vecb=x2veci+y2vecj, find the condition that ...

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  13. If |vec P xx vec Q|=PQ then the angle between vec P and vec Q is

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  14. The magnitude of vector vec A is 2.5 metre and is directed towards eas...

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  15. The magnitude of vector vec A is 2.5 metre and is directed towards eas...

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  16. The magnitude of vector vec A is 2.5 metre and is directed towards eas...

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  17. The magnitude of vector vec A is 2.5 metre g and is directed towards e...

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  18. A person sitting in an open car moving at constant velocity throws a b...

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  19. A person sitting in an open car moving at constant velocity throws a b...

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  20. A bob hung from the ceiling of a room by a string is performing simple...

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  21. A bob hung from the ceiling of a room by a string is performing simple...

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