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If |bar(a)xx bar(b)|^(2)+|bar(a).bar(b)|...

If `|bar(a)xx bar(b)|^(2)+|bar(a).bar(b)|^(2)=144` and `|bar(a)|=4`, then `|bar(b)|` is equal to ……………….

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The correct Answer is:
`:.|bar(b)|=3`
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(bar(a)xx bar(b))^(2) = ……………..

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If |bar(a)|=10,|bar(b)|=2 and bar(a).bar(b)=12 then the value of |bar(a)xx bar(b)| is …………

If bar(a),bar(b) and bar( c ) are perpendicualr to bar(b)+bar( c ),bar( c )+bar(a) and bar(a)+bar(b) respectively and |bar(a)+bar(b)|=6,|bar(b)+bar( c )|=8 and |bar( c )+bar(a)|=10 then |bar(a)+bar(b)+bar( c )| =……………….

If |bar(a).bar(b)|=3 and |bar(a)xx bar(b)|=4 then the angle between bar(a) and bar(b) is ………………

bar(a),bar(b) and bar( c ) are unit vectors. The value of |bar(a)-bar(b)|^(2)+|bar(b)-bar( c )|^(2)+|bar( c )-bar(a)|^(2) is not expected ………………

If bar(mu)=bar(a)-bar(b),bar(v)=bar(a)+bar(b),|bar(a)|=|bar(b)|=2 then |bar(mu)xx bar(v)|=……..

The formula |bar(a)+bar(b)|^(2)=|bar(a)|^(2)+|bar(b)|^(2)+2bar(a)xx bar(b) is valid for non-zero vectors bar(a) and bar(b) .

If |bar(x)|=|bar(y)|=1 and bar(x)_|_bar(y) , then |bar(x)-bar(y)| =……………

If bar(a)+bar(b)+bar(c )=0 and |bar(a)|=3, |bar(b)|=5, |bar(c )|=7 and (bar(a),bar(b))= alpha , then alpha = ____

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Objective type Questions)
  1. The angle between two vectors a and b with magnitudes sqrt(3) and 4, r...

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  2. Find the value of lambda such that the vectors bar(a)=2bar(i)+lambda b...

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  3. The value of lambda for which the vectors 3bar(i)-6bar(j)+bar(k) and 2...

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  4. The vectors from origin to the points A and B are bar(a)=2bar(i)-3bar(...

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  5. bar(a)=2bar(i)-3bar(j)+2bar(k) and bar(b)=2bar(i)+3bar(j)+bar(k) are t...

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  6. For any vector bar(a), the value of (bar(a)xx i)^(2)+(bar(a)xx j)^(2)+...

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  7. If |bar(a)|=10,|bar(b)|=2 and bar(a).bar(b)=12 then the value of |bar(...

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  8. The vectors lambda bar(i)+bar(j)+2bar(k),bar(i)+lambda bar(j)-bar(k) a...

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  9. If bar(a),bar(b) and bar( c ) are unit vectors such that bar(a)+bar(b)...

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  10. The projection vector of bar(a) on bar(b) is ………….

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  11. If bar(a),bar(b) and bar( c ) are three vectors such that bar(a)+bar(b...

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  12. If |bar(a)|=4 and -3le lambda le 2, then the range of |lambda. bar(a)|...

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  13. The number of vectors of unit length perpendicular to the vectors bar(...

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  14. The vector (bar(a)+bar(b)) bisects the angle between the non-collinear...

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  15. If bar( r ).bar(a)=0,bar( r ).bar(b)=0 and bar( r ).bar( c )=0 for som...

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  16. The vectors bar(a)=3bar(i)-2bar(j)+2bar(k) and bar(b)=-bar(i)-2bar(k) ...

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  17. The values of k, for which |k.bar(a)|lt |bar(a)| and k.bar(a)+(1)/(2)b...

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  18. The value of the expression |bar(a)xx bar(b)|^(2)+(bar(a).bar(b))^(2) ...

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  19. If |bar(a)xx bar(b)|^(2)+|bar(a).bar(b)|^(2)=144 and |bar(a)|=4, then ...

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  20. If bar(a) is any non-zero vector, then (bar(a).bar(i)).bar(i)+(bar(a...

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