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If hat(i)xx[(vec(a)-hat(j))xxhat(i)]+hat...

If `hat(i)xx[(vec(a)-hat(j))xxhat(i)]+hat(j)xx[(vec(a)-hat(k))xx hat(j)]+hat(k)xx [(vec(a)-hat(i))xx hat(k)]=0` and `vec(a)=x hat(i)+y hat(j)+z hat(k)`, then find the value of `8(x^(3)-xy+zx)`

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hat i xx[(vec a-hat j)xxhat i]+hat j xx[(vec a-hat k)xxhat j]+hat k xx[(vec a-hat i)xxhat k]=0 then find vector vec a .

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

Let vec(a) = hat(i) + 2hat(j) + 3hat(k) , vec(b) = 2hat(i) + hat(j) + hat(k), vec(c) = 3hat(i) + 2hat(j) + hat(k) and vec(d) = 3hat(i) - hat(j) - 2hat(k) , then . If vec(a) xx (vec(b) xx vec(c)) = pvec(a) + qvec(b) + rvec(c) , then find value of p,q are r.

If vec(a)=(hat(i)-hat(j)+2hat(k)) and vec(b)=(2hat(i)+3hat(j)-4hat(k)) then |vec(a)xx vec(b)|=?

If vec(a) = 3 hat(i) + 2 hat(k) , vec(b) = 3hat(j) - hat(k) and vec(c ) = hat(i) + hat(j) + hat(k) . Find ( vec(a) xx vec(b)). vec(c ) .

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) = hat(i) + hat(j) + 2 hat(k) and vec(b) = 3 hat(i) + 2 hat(j) - hat(k) , find the value of (vec(a) + 3 vec(b)) . ( 2 vec(a) - vec(b)) .

Find the area of the parallelogram whose adjacent sides are represented by the vectors (i) vec(a)=hat(i) + 2 hat(j)+ 3 hat(k) and vec(b)=-3 hat(i)- 2 hat(j) + hat(k) (ii) vec(a)=(3 hat(i)+hat(j) + 4 hat(k)) and vec(b)= ( hat(i)- hat(j) + hat(k)) (iii) vec(a) = 2 hat(i)+ hat(j) +3 hat(k) and vec(b)= hat(i)-hat(j) (iv) vec(b)= 2 hat(i) and vec(b) = 3 hat(j).

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