If `bar(a)` is perpendicular to `bar(b)` then `bar(a)*bar(b)` is

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)]| =

Let the vectors bar(a),bar(b),bar(c) be such that |bar(a)|=2,|bar(b)|=4 and |bar(c)|=4 . If the projection of bar(b) on bar(a) on is equal to the projection of bar(c) on bar(a) and bar(b) is perpendicular to bar(c) then the value of |bar(a)+bar(b)-bar(c)| is

Let the vectors bar(a),bar(b),bar(c) be such that |bar(a)|=2,|bar(b)|=4 and |bar(c)|=4 . If the projection of bar(b) on bar(a) is equal to the projection of bar(c) on bar(a) and bar(b) is perpendicular to bar(c) ,then the value of |bar(a)+bar(b)-bar(c)| is

The vector bar(b)=3bar(i)+4bar(k) is to be written as sum of a vector bar(b)_(1) parallel to bar(a)=bar(i)+bar(j) and a vector bar(b)_(2) perpendicular to bar(a) then bar(b)_(1) is equal to

If the vector bar(b)=3hat j+4hat k is written as the sum of vector bar(b)_(1) parallel to bar(a)=hat i+hat j and a vector bar(b)_(2) perpendicular to bar(a) then bar(b)_(1)times bar(b)_(2)=

If |bar(a)| = 3,|bar(b)| = 4 , then the value of lambda for which bar(a) + lambda bar(b) is perpendicular to bar(a) - lambda bar(b) is…..

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

The vector bar(c) is perpendicular to both bar(a)=(bar(i)-2bar(j)+bar(k)),bar(b)=(2bar(i)+bar(j)-bar(k)),bar(c) also satisfies , |bar(c)times(bar(i)-bar(j)+bar(k))|=2sqrt(6) then bar(c)=

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