a, are three vectors, such that = 3 ,then (ab +DE+c.-)2 is equal to 1)-7 2)49 3)7 4) 1

If (1,2,4) and (2,-lamda,-3) are the initial and terminal points of the vector hati+5hatj-7hatk then the value lamda is equal to (A) 7 (B) -7 (C) -5 (D) 5

If (1,2,4) and (2,-lamda,-3) are the initial and terminal points of the vector hati+5hatj-7hatk then the value lamda is equal to (A) 7 (B) -7 (C) -5 (D) 5

If a,b and c are three vectors such that |a|=1, |b|=2, |c|=3 and a.b=b.c=c.a=0, then |[a b c]| is equal to

Let a = hati - 2 hatj + 3 hatk , If b is a vector such that a.b =|b| ^(2) and |a - b | = sqrt7, then |b| is equal to a) sqrt7 b) sqrt3 c)7 d)3

Suppose a, b, c are three unit vectors such that " "abs(a-b)^(2)+abs(b-c)^(2)+abs(c-a)^(2)=9 , then abs(2a+7b+7c)= ___________

If alpha,\ beta are the zeros of the polynomial p(x)=4x^2+3x+7 , then 1/alpha+1/beta is equal to (a) 7/3 (b) -7/3 (c) 3/7 (d) -3/7

Suppose a, b, c are three vectors such that a+b+c=0, abs(a)=abs(b)=1" and "a*b+b*c-c*a=-3//2," then "abs(c)= ________

vector vecc are perpendicular to vectors veca= (2,-3,1) and vecb= (1, -2,3) and satifies the condition vecc. (hati + 2hatj - 7 hatk) = 10 then vector vecc is equal to (a) (7,5,1) (b) (-7,-5,-1) (c) (1,1,-1) (d) none of these

If the matrix A is such that A[{:(-1,2),(3,1):}]=[{:(-4,1),(7,7):}] ,then A is equal to