If `bar(a),bar(b)` are vectors perpendicular to each other and `|bar(a)|=2,|bar(b)|=3, bar(c)timesbar(a)=b,` then the least value of `2|bar(c)-bar(a)|" is `

If bar(a),bar(b) and bar(c) are mutually perpendicular vectors then [bar(a)bar(b)bar(c)]=

If bar(a) and bar(b) are two vectors perpendicular each other, prove that (bar(a) + bar(b))^(2) = (bar(a) - bar(b))^(2)

If bar(a) and bar(b) are two unit vectors perpendicular to each other and bar(c)=lambda_1 bar(a)+lambda_2bar(b)+lambda_(3)(bar(a)timesbar(b)) ,then which of the following is (are) true? (A) lambda_(1)=bar(a).bar(c) (B) lambda_(2)=|bar(b)timesbar(a)| (C) lambda_(3)=|(bar(a)timesbar(b))timesbar(c)| (D) lambda_(1)+lambda_(2)+lambda_(3)=(bar(a)+bar(b)+bar(a)timesbar(b)).bar(c)

If (bar(a),bar(b))=(pi)/(6),bar(c) is perpendicular to bar(a) and bar(b),|bar(a)|=3,|bar(b)|=4,|bar(c)|=6 then |[bar(a)bar(b)bar(c)]|

If bar(a) is a perpendicular to bar(b) and bar(c), |bar(a)|=2, |bar(b)|=3, |bar(c)|=4 and the angle between bar(b) and bar(c) is (2pi)/(3) then |[bar(a) bar(b) bar(c)]| =

if bar(a),bar(b),bar(c) are any three vectors then prove that [bar(a),bar(b)+bar(c),bar(a)+bar(b)+bar(c)]=0

bar(a),bar(b),bar(c) are three vectors such that |bar(a)|=1,|bar(b)|=2,|bar(c)|=3 and bar(b),bar(c) are perpendicular to each other.If the projection of bar(b) along bar(a) is same as that of bar(c) along bar(a) then |bar(a)-bar(b)+bar(c)| is equal to

If bar(a)+bar(b)+bar(c)=bar(0) then bar(a)timesbar(b)=

If |bar(a)|=|bar(b)|=1 and |bar(a)timesbar(b)|=bar(a)*bar(b) , then |bar(a)+bar(b)|^(2)=

If bar(a),bar(b),bar(c) are three non zero vectors,then bar(a).bar(b)=bar(a).bar(c)rArr