`bar a=2 bar i+bar j-2bar k and bar b=bar i+bar j` if `bar c` is a vector such that `bar a* bar c=|bar c|,|bar c-bar a|=2sqrt2` and and the angle between`bar axxbar b and bar c` is `30^@`, then `|(bar a xx bar b)xxbar c|=`

bar(a)=2bar(i)+bar(j)-2bar(k) and bar(b)=bar(i)+bar(j) if bar(c) is a vector such that bar(a)*bar(c)=|bar(c)|,|bar(c)-bar(a)|=2sqrt(2) and and the angle between bar(a)xxbar(b) and bar(c) is 30^(@), then |(bar(a)xxbar(b))xxbar(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+2 bar b+3bar c=bar 0 then bar axxbar b+bar b xx bar c+bar cxx bara = lambda (bar b xx bar c) ,where lambda=

Let bar a = 2bar i + bar k,bar b=bar i+bar j+bar k and bar c=4 bar i-3bar j+7 bar k three vectors. The vector which satisfies bar r xx bar b=bar c xx bar b and bar r.bar a=0 is

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)xxbar(c)), then value of n is

bar (a) = 2bar (i) + 3bar (j) -bar (k), bar (b) = bar (i) + 2bar (j) -4bar (k), bar (c) = bar (i) + bar (j) + bar (k), bar (d) = bar (i) -bar (j) -bar (k) then

bar (a) = bar (a) + bar (j) + bar (k), bar (b) = bar (i) + bar (j), bar (c) = bar (i) and (bar (a) xxbar (b)) xxbar (c) = lambdabar (a) + mubar (b), then lambda + mu =

If bar(a)=bar(i)-2bar(j)-bar(k) , bar(b)=-2bar(j)+bar(k) are two vectors and bar(c) is a vector such that bar(c)=bar(a) times bar(b) then |bar(a)|:|bar(b)|:|bar(c)| =

Three vectors bar(a),bar(b),bar(c) are such that bar(a)xxbar(b)=3(bar(a)xxbar(c)) .Also |bar(a)|=|bar(b)|=1,|bar(c)|=(1)/(3). If the angle between bar(b) and bar(c) is 60^(@), then

Three vectors bar(a),bar(b),bar(c) are such that bar(a)xxbar(b)=3(bar(a)xxbar(c))* Also |bar(a)|=|bar(b)|=1,|bar(c)|=(1)/(3). If the angle between bar(b) and bar(c) is 60^(@), then