If `a=hati+hatj+hatk,b=hati+hatj,c=hati and (axxb)xxc=lamda a+mub`, then `lamda+mu` is equal to

If veca=hati+hatj+hatk, vecb=hati+hatj,vecc=hati and (vecaxxvecb)xxvecc=lamda veca+mu vecb , then lamda+mu=

If a=hati+2hatj+3hatk,b=-hati+2hatj+hatk and c=3hati+hatj . If (a+tb) bot c , then t is equal to

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

The vectors hati+2hatj+3hatk,lamdahati+4hatj+7hatk,-3hati-2hatj-5hatk are collinear, of lamda is equal to (A)3 (B)4 (C)5 (D)6

If vectors veca =hati +2hatj -hatk, vecb = 2hati -hatj +hatk and vecc = lamdahati +hatj +2hatk are coplanar, then find the value of lamda .

Let the cosine of angle between the vectors p and q be lamda such that 2p+q=hati+hatj and p+2q=hati-hatj , then lamda is equal to

If the four points with position vectors -2hati+hatj+hatk, hati+hatj+hatk, hatj-hatk and lamda hatj+hatk are coplanar then lamda= (A) 1 (B) 2/3 (C) -1 (D) 0

If the vectors veca=2hati-hatj+hatk, vecb=hati+2hatj-hat(3k) and vecc= 3hati+lamda hatj+5hatk are coplanar the value of lamda is (A) -1 (B) 3 (C) -4 (D) -1/4

If veca=2hati+2hatj+3hatk, vecb=-hati+2hatj +k and vecc=3hati+hatj such that veca+lamdavecb is perpendicular to vector c then the find the value of lamda.

If a=2hati+2hatj-8hatk and b=hati+3hatj-4hatk , then the magnitude of a+b is equal to