Home
Class 12
MATHS
Let veca = a1hati + a2hatj + a3hatk, vec...

Let `veca = a_1hati + a_2hatj + a_3hatk, vecb = b_1hati + b_2hatj+ b_3hatk` and `vecc = c_1hati + c_2hatj + c_3hatk` be three non zero vectors such that `|vecc| =1` angle between `veca` and `vecb` is `pi/4` and `vecc` is perpendicular to `veca` and `vecb` then `|[a_1, b_1, c_1], [a_2, b_2, c_2], [a_3, b_3, c_3]|^2= lamda(a_1 ^2 +a_2 ^2 + a_3 ^2)(b_1 ^2 + b_2^2+b_3^2)` where `lamda` is equal to (A) `1/2` (B) `1/4` (C) `1` (D) `2`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let veca=a_1hati+a_2hatj+a_3hatk, vecb=b_1hati+b_2hatj+b_3hatk and vecc=c_1hati+c_2hatj+c_3hatk then show that vecaxx(vecb+vecc)=vecaxxb+vecaxxvecc

Let veca=a_1hati+a_2hatj+a_3hatk, vecb=b_1hati+b_2hatj+b_3hatk and vecc=c_1hati+c_2hatj+c_3hatk then show that vecaxx(vecb+vecc)=vecaxxb+vecaxxvecc

If veca = a_(1) hati + a_(2) hatj + a_(3) hatk vecb = vecb_(1) hati+ b_(2) hatj+ b_(3)hatk and vecc = c_(1) hati + c_(2) hatj + c_(3) hatk Expresses [ veca vecb vecc ] as a determinanr.

Let veca =hati + hatj + sqrt2 hatk, vecb = b_(1) hati + b _(2) hatj + sqrt2 hatk and vecc = 5 hati + hatj + sqrt2 hatk be three vectors such that the projection vector of vecb on veca is veca. If veca + vecb perpendicular to vecc, then |vecb| is equal to

Let veca=a_(1)hati+a_(2)hatj+a_(3)hatk, vecb=b_(1)hati+b_(2)hatj+b_(3)hatk and vecc=c_(1)hati+c_(2)hatj+c_(3)hatk be three non zero vectors such that vecc is a unit vector perpendicular to both veca and vecb . If the angle between veca and vecb is (pi)/6 , then |(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3))|^(2) is equal to

Let veca=a_(1)hati+a_(2)hatj+a_(3)hatk, vecb=b_(1)hati+b_(2)hatj+b_(3)hatk and vecc=c_(1)hati+c_(2)hatj+c_(3)hatk be three non zero vectors such that vecc is a unit vector perpendicular to both veca and vecb . If the angle between veca and vecb is (pi)/6 , then |(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3))|^(2) is equal to

Let veca=a_(1)hati+a_(2)hatj+a_(3)hatk,vecb=b_(1)hati+b_(2)hatj+b_(3)hatk and vecc=c_(1)hati+c_(2)hatj+c_(3)hatk be three non-zero vectors such that vecc is a unit vector perpendicular to both veca and vecb . If the angle between veca and vecb is pi//6 then the value of |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|"is"

Let veca=a_(1)hati+a_(2)hatj+a_(3)hatk,vecb=b_(1)hati+b_(2)hatj+b_(3)hatk and vecc=c_(1)hati+c_(2)hatj+c_(3)hatk be three non-zero vectors such that vecc is a unit vector perpendicular to both veca and vecb . If the angle between veca and vecb is pi//6 then the value of |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|"is"

If veca = 2 hati - 3hatj, vecb = hati + hatj -hatk, vecc = 3hati - hatk, find [a vecb vecc]

If bara = a_1 hati + a_2 hatj + a_3 hatk , hatb = b_1 hati + b_2 hatk and barc = c_1 hati + c_2 hatj + c_3 hatk are non-zero vectors such that barc is a unit vector perpendicular to both the vectors veca and barb and angle between bara , barb is pi//6 then, |{:(a_1 , a_2 ,a_3),(b_1,b_2,b_3),(c_1 , c_2,c_3):}|^2 =