" 12.(i) "sqrt((bar(ax)+b)^(m))

sqrt((ax+b)^(m))

bar (a) = bar (a) + bar (j) + bar (k), bar (b) = bar (i) + bar (j), bar (c) = bar (i) and (bar (a) xxbar (b)) xxbar (c) = lambdabar (a) + mubar (b), then lambda + mu =

If 3bar(i)+3bar(j)+sqrt(3)bar(k),bar(i)+bar(j),sqrt(3)bar(i)+sqrt(3)bar(j)+lambdabar(k) are coplanar vectors then lambda=

If 3bar(i)+3bar(j)+sqrt(3)bar(k), bar(i)+bar(k), sqrt(3)bar(i)+sqrt(3)bar(j)+lambdabar(k) are coplanar then lambda=

Differentiate : (i) (ax + b)^(m) , (ii) (3x+5)^(6) , (iii) sqrt(ax^(2) + 2bx + c)

If bar(a) = 2bar(i) - 3bar(j) + bar(k) and bar(b) = bar(i) + 4bar(j) -2bar(k) , then find (bar(a) + bar(b))xx(bar(a)-bar(b))

If bar(a) = 2bar(i)+5bar(j)+bar(k), bar(b) = 4bar(i)+mbar(j)+nbar(k) are collinear vectors then find m and n.

If bar(a)= 2bar(i) - 3bar(j) + 5bar(k), bar(b)= - bar(i) + 4bar(j)+ 2bar(k) then find (bar(a) + bar(b)) xx (bar(a) - bar(b)) and unit vector perpendicular to both bar(a) + bar(b) " & " bar(a)- bar(b) .

Evaluate : int (dx)/(sqrt(ax+b)+sqrt(ax-b))