Let `F=2i+2j+5k` and ,`bar(A)=(1,2,5),bar(B)=(-1,-2,-3)` and `vec (BA) times F=4i+6j+2 lambda k,` then the value of `| lambda|` is

If vec(a) = 2 hat(i) - 3hat(j) + 2 hat(k), vec(b)= 2hat(i)-4 hat(k) and vec(c ) = hat(i) + lambda hat(j) + 3 hat(k) are coplanar , then the values of lambda is (i) -5/2 (ii) 5/3 (iii) 3/5 (iv) -5/3

If the planes overset(to)( r) (2 hat(i) - lambda (j) + 3 hat(k) ) = 0 and overset(to)( r) ( lambda (i) + 5 hat(j) - hat(k) )=5 are perpendicular to each other, then the value of lambda is

If the vectors vec (a) = 2 hat (i) - hat (j) + hat (k) , vec ( b) = hat (i) + 2 hat (j) - 3 hat (k) and vec(c ) = 3 hat (i) + lambda hat (j) + 5 hat (k) are coplanar , find the value of lambda

If vec(A)=-hat(i)+3hat(j)+2hat(k) and vec(B)=3hat(i)+2hat(j)+2hat(k) then find the value of vec(A) times vec(B) .

If vec(A) and vec(B) are perpendicular Vectors and vector vec(A)= 5hat(i)+7hat(j)-3hat(k) and vec(B)= 2hat(i)+2hat(j)-ahat(k) . The value of a is

If vec(A)=3hat(i)+hat(j)+2hat(k) and vec(B)=2hat(i)-2hat(j)+4hat(k), then find the value of |vec(A)xxvec(B)|.

If vectors vec a= hat i+2 hat j- hat k , vec b=2 hat i- hat j+ hat k and vec c=lambda hat i+ hat j+2 hat k are coplanar, then find the value of (lambda-4) .

If vec(A)=4hat(i)+nhat(j)-2hat(k) and vec(B)=2hat(i)+3hat(j)+hat(k) , then find the value of n so that vec(A) bot vec(B)

If vec p=5 hat i+lambda hat j-3 hat k\ a n d\ vec q= hat i+3 hat j-5 hat k , then find the value of lambda such that vec p+ vec q and vec p- vec q are perpendicular vectors.

If vec p=5 hat i+lambda hat j-3 hat k and vec q= hat i+3 hat j-5 hat k , then find the value of lambda , so that vec p+ vec q and vec p- vec q are perpendicular vectors.