`A=2hat(i)+hat(j),B+3hat(j)-hat(k)and C=6hat(i)-2hat(k)` Value of `A-2B+3C` would be

If a=hat(i)+hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=3hat(i)-hat(k) and c=ma+nb , then m+n is equal to

Let a = 2hat(i) - 3hat(j) + 4hat(k), b = hat(i) + 2hat(j) - 2hat(k) and c = 3hat(i) - hat(j) + hat(k) . The valume (in cubic units of the parallelopiped having a + b + c, a - b + c and a + b -c as coterminus edges is

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