The vector (bar(a)+bar(b)) bisects the a...

The vector `(bar(a)+bar(b))` bisects the angle between the non-collinear vectors `bar(a)` and `bar(b)`, if ……………

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`:.bar(a)=bar(b)`

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

(bar(a)xx bar(b))^(2) = ……………..

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)=a_(1)hati+a_(2)hatj+a_(3)hatk,bar(b)=b_(1)hati+b_(2)hatj+b_(3)hatk,bar( c )=c_(1)hati+c_(2)hatj+c_(3)hatk are three non zero vectors. The unit vector bar( c ) is perpendicular to bar(a) and bar(b) . The angle between bar(a) and bar(b) is (pi)/(6) then, |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}| = .............

For unit vectors bar(a) and bar(b) , if bar(a)+2bar(b) and 5bar(a)-4bar(b) are perpendicular to each other then the angle between bar(a) and bar(b) is ………….

bar(a),bar(b) and bar( c ) are unit vectors. bar(a).bar(b)=0=bar(a).bar( c ) and the angle between bar(b) and bar( c ) is (pi)/(3) . Then |bar(a)xx bar(b)-bar(a)xx bar( c )|= …………..

If |bar(a)+bar(b)|=|bar(a)-bar(b)| , then the vectors bar(a) and bar(b) are orthogonal.

If bar(a),bar(b),bar( c ) and bar(d) are coplanar vectors then (bar(a)xx bar(b))xx(bar( c )xx bar(d)) = …………..

Find the sine of the angle between the vectors bar(a)=3hati+hatj+2hatk and bar(b)=2hati-2hatj+4hatk .

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Objective type Questions)

The angle between two vectors a and b with magnitudes sqrt(3) and 4, r...
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Find the value of lambda such that the vectors bar(a)=2bar(i)+lambda b...
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The value of lambda for which the vectors 3bar(i)-6bar(j)+bar(k) and 2...
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The vectors from origin to the points A and B are bar(a)=2bar(i)-3bar(...
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bar(a)=2bar(i)-3bar(j)+2bar(k) and bar(b)=2bar(i)+3bar(j)+bar(k) are t...
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For any vector bar(a), the value of (bar(a)xx i)^(2)+(bar(a)xx j)^(2)+...
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If |bar(a)|=10,|bar(b)|=2 and bar(a).bar(b)=12 then the value of |bar(...
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The vectors lambda bar(i)+bar(j)+2bar(k),bar(i)+lambda bar(j)-bar(k) a...
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If bar(a),bar(b) and bar( c ) are unit vectors such that bar(a)+bar(b)...
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The projection vector of bar(a) on bar(b) is ………….
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If bar(a),bar(b) and bar( c ) are three vectors such that bar(a)+bar(b...
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If |bar(a)|=4 and -3le lambda le 2, then the range of |lambda. bar(a)|...
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The number of vectors of unit length perpendicular to the vectors bar(...
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The vector (bar(a)+bar(b)) bisects the angle between the non-collinear...
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If bar( r ).bar(a)=0,bar( r ).bar(b)=0 and bar( r ).bar( c )=0 for som...
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The vectors bar(a)=3bar(i)-2bar(j)+2bar(k) and bar(b)=-bar(i)-2bar(k) ...
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The values of k, for which |k.bar(a)|lt |bar(a)| and k.bar(a)+(1)/(2)b...
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The value of the expression |bar(a)xx bar(b)|^(2)+(bar(a).bar(b))^(2) ...
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If |bar(a)xx bar(b)|^(2)+|bar(a).bar(b)|^(2)=144 and |bar(a)|=4, then ...
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If bar(a) is any non-zero vector, then (bar(a).bar(i)).bar(i)+(bar(a...
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