If a and b are vectors in space given by `a=(hat(i)-2hat(j))/(sqrt(5)) and b=(2hat(i)+hat(j)+3hat(k))/(sqrt(14))`, then the value of `(2a+b)*[(atimesb)times(a-2b)]` is

If a and b are vectors in space given by vec a=(hat i-2hat j)/(sqrt(5)) and vec b=(hat 2i+hat j+3hat k)/(sqrt(14)), then find the value of (2vec a+vec b)*[(vec a xxvec b)xx(vec a-2vec b)]

If overset(to)(a) " and " overset(to)(b) are vectors in space given by overset(to)(a) = (hat(i) -2hat(j))/(sqrt(5)) " and " overset(to)(b) = (2hat(i) + hat(j) +3hat(k))/(sqrt(14)) then the value of (2overset(to)(a) + overset(to)(b)).[(overset(to)(a) xx overset(to)(b)) xx (overset(to)(a) -2overset(to)(b))] is .........

If vec a and vec b are vectors in space given by vec a= (hat i - 2vec j)/sqrt5 and vec b = (2 hat i+ hat j + 3 hat k)/sqrt14 then the value of (2 vec a+ vec b) is

If a=2hat(i)+3hat(j)-hat(k), b=-hat(i)+2hat(j)-4hat(k), c=hat(i)+hat(j)+hat(k) , then find the value of (atimesb)*(atimesc) .

Find the anlge between the vectors a+b and a-b, if a=2hat(i)-hat(j)+3hat(k) and b=3hat(i)+hat(j)-2hat(k) .

The two vectors A=2hat(i)+hat(j)+3hat(k) and B=7hat(i)-5hat(j)-3hat(k) are :-

Find a unit vector perpendicular to A=2hat(i)+3hat(j)+hat(k) and B=hat(i)-hat(j)+hat(k) both.

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

Find |vec(a)xx vec(b)| , if vec(a)=2hat(i)+hat(j)+3hat(k) and vec(b)=3hat(i)+5hat(j)-2hat(k) .

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