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

If `bar(a)=bar(i)-2bar(j)+bar(k), bar(b)=2bar(i)+bar(j)+bar(k), bar(c ) = bar(i) + 2bar(j)-bar(k)`, then find `bar(a) xx (bar(b) xx bar(c ))` and `|(bar(a)xxbar(b))xxbar(c )|`.

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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )
  1. For any vector bar(a) show that |bar(a) xx bar(i)|^(2) + |bar(a) xx ba...

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

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

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

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

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

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

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

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

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

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  11. Let bar(e1) and bar(e2) be unit vectors making angle theta. If 1/2|bar...

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  12. Find the equation of the line passing through the point 2bar(i)+3bar(j...

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  13. If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)=-bar(i)+4bar(j)+2bar(k), then...

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  14. If bar(a)bar(b)bar(c ) and bar(d) are vectors such that bar(a) xx bar(...

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  15. If bar(a).bar(b) = bar(a).bar(c ) and bar(a) xx bar(b) = bar(a) xx bar...

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  16. Find the equation of the plane passing through the point A=(2,3,-1),B=...

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  17. Find the equation of the plane passing though the point A = (3, -2,-1)...

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  18. Find the distance of a point (2,5,-3) form plane bar(r ).(6bar(i) - 3b...

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  19. Find the angle between line (x+1)/2 = y/3 = (z-3)/6 and the plane 10x ...

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  20. Compute [bar(i) - bar(j). bar(j) - bar(k). bar(k) -bar(i)].

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