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vec(a) = 2hat(i) - hat(j) + hat(k), vec(...

`vec(a) = 2hat(i) - hat(j) + hat(k), vec(b) = hat(i) - 3hat(j) - 5hat(k)`. Find the vector `vec(c )` such that `vec(a), vec(b) and vec(c)` form the sides of a triangle.

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The correct Answer is:
`-3bar(i) + 2bar(j) + 4bar(k)`
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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )
  1. If 4bar(i) + (2p)/3 bar(j)+ pbar(k) is parallel to the vector bar(i) ...

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  2. If |bar(a)| = 13, |bar(b)| = 5, and bar(a).bar(b) = 60, then find |bar...

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  3. vec(a) = 2hat(i) - hat(j) + hat(k), vec(b) = hat(i) - 3hat(j) - 5hat(k...

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  4. If bar(a) xx bar(b) = bar(b) xx bar(c ) != 0, then show that bar(a) + ...

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  5. If bar(a) , bar(b) and bar(a)-sqrt2bar(b) are unit vectors, then what ...

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  6. If bar(a) , bar(b) are non-zero vectors such that |bar(a)+bar(b)|^2 =...

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  7. If |bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4 and each of bar(a), bar(b...

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  8. bar(a), bar(b) , bar(c ) are pair wise non zero and non collinear vect...

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  9. Find unit vector parallel to the XOY-plane and perpendicular to the ve...

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  10. Find the equation of the plane through the point (3,-2,2) and perpendi...

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  11. For any vector bar(a) show that |bar(a) xx bar(i)|^(2) + |bar(a) xx ba...

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  12. Show that (bar(a)+bar(b)) . [(bar(b)+bar(c)) xx (bar(c )+bar(a))] = 2[...

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  13. If bar(a)=bar(i)-2bar(j)+bar(k), bar(b)=2bar(i)+bar(j)+bar(k), bar(c )...

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  14. If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then...

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  15. Show that (bar(a)+bar(b)) . [(bar(b)+bar(c)) xx (bar(c )+bar(a))] = 2[...

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  16. Prove that bar(a)x[bar(a)x(bar(a) x bar(b))] = (bar(a).bar(a))(bar(b)x...

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  17. Find the value of [bar(i)+bar(j)+bar(k),bar(i)-bar(j),bar(i)+2bar(j)-b...

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  18. Ig |bar(a)| = 11 ,|bar(b)| = 23,|bar(a)-bar(b)| = 30 then find the ang...

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  19. If bar(P),bar(Q),bar(R) and bar(S) are points whose position vectors a...

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  20. Let bar(a) = 2bar(i) + 3bar(j) + bar(k), bar(b) = 4bar(i) + bar(j) and...

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