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Find unit vector parallel to the XOY-pla...

Find unit vector parallel to the XOY-plane and perpendicular to the vector `4bar(i) - 3bar(j) + bar(k)`.

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The correct Answer is:
`+-(3bar(i)+4bar(j))/(5)`
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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )
  1. If |bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4 and each of bar(a), bar(b...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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