Consider three vectors `A=hati +hatj-2hatk`,
`B=hati +hatj+2hatk and 2hati -3hatj +4hatk` A vector X of the from `alphaA +betaB (alpha and beta"are numbers")` is perpendicular to C .The ratio of `alpha and beta` is

Consider three vectors A=hati +hatj-2hatk , B=hati +hatj+2hatk and C= 2hati -3hatj +4hatk A vector X of the from alphaA +betaB (alpha and beta"are numbers") is perpendicular to C .The ratio of alpha and beta is

Consider three vectors A=hati+hatj-2hatk,B=hati-hatj+hatk and C=2hati-3hatj+4hatk . A vector X of the form alphaA+betaB ( alpha and beta are numbers) is perpendicular to C. The ratio of alpha and beta is

Consider three vectors vecA =hati+hatj-2hatk,vecB=hati-hatj+hatk and vecC =2hati-3hatj+4hatk . A vector vecX of the form alpha vecA+betavecB(alpha and beta are numbers ) is perpendicular to vecC . The ratio of alpha and beta is

Three vectors 7hati-11hatj+hatk, 5hati+3hatj-2hatk and 12hati-8hatj-hatk forms

Show that the vectors hati -2 hatj+3hatk , -2hati+3hatj-4hatk and hati -3hatj +5hatk are coplanar.

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati-2hatj-4hatk are coplanar.

IF the vectors a = hati + hatj + hatk , b = hati - hatj + 2 hatk and c= x hati +(x-2) hatj - hatk are coplanar , then x=