Let `bar a,bar b,bar c` be unit vectors such that `bar a.bar b=bar a.bar c=0` and the angle between `bar b and bar c` is `pi/6` if `bar a = n (bar b xx bar c)`, then value of n is

Let bar(a), bar(b), bar(c ) be unit vectors, suppose that bar(a). bar(b) = bar(a). bar(c )= 0 and the angle between bar(b) and bar(c ) is pi//6 then show that bar(a)= +-2 (bar(b) xx bar( c))

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 )|= …………..

bar a, bar b, bar c are three vectros, then prove that: (bar a xx bar b) xx bar c = (bar a. bar c) bar b-(bar b. bar c) bar a.

(d) answer ANY one question :1. bar a, bar b and bar c be three vectors such that bar a +bar b+ bar c =0 and |bar a|=1, |bar b|=4,|bar c |=2 . Evlautae bar a.bar b + bar b.bar c+bar c.bar a .

bar(a)=2hati+hatj-2hatk and bar(b)=hati+hatj . The vector bar( c ) is such that bar(a)*bar( c )=|bar( c )|,|bar( c )-bar(a)|=2sqrt(2) and the angle between bar(a)xx bar(b) and bar( c ) is 30^(@) then |(bar(a)xx bar(b))xx bar( c )| = …………

Let a,b, c be three vectors such that |bar(a)|=1,|bar(b)|=2 and if bar(a)times(bar(a)timesbar(c))+bar(b)=bar(0), then angle between bar(a) and bar(c) can be.

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 non-coplanar unit vectors such that bar(a)times(bar(b)timesbar(c))=(sqrt(3))/(2)(bar(b)+bar(c)) then the angle between bar(a) and bar(b) is ( bar(b) and bar(c) are non collinear)

If bar(a),b,bar(c) are non-coplanar unit vectors such that bar(a)times(bar(b)timesbar(c))=(sqrt(3))/(2)(bar(b)+bar(c)) then the angle between bar(a) and bar(b) is (bar(b) and bar(c) are non collinear)