Home
Class 12
MATHS
The vectors ahati+2ahatj-3ahatk,(2a+1)ha...

The vectors `ahati+2ahatj-3ahatk,(2a+1)hati+(2a+3)hatj+(a+1)hatk` and `(3a+5)hati+(a+5)hatj+(a+2)hatk` are non coplanasr for a belonging to the set (A) R - `{0}` (B) `(0,oo)` (C) (-oo,1)` (D) `(1,oo)`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The vectors x hati + (x+1)hatj + (x+2)hatk, (x+3)hati+ (x+4)hatj + (x+5)hatk and (x+6)hati + (x+7)hatj+ (x+8)hatk are coplanar if x is equal to a. 1 b. -3 c. 4 d. 0

Vector 1/3 (2hati - 2hatj +hatk) is

If the vectors a hati + 3 hatj - 2 hatk and 3 hati - 4 hatj + b hatk are collinear, then (a,b) =

If the vectors 2hati-hatj+hatk,hati+2hatj-3hatk and 3hati+ahatj+5hatk are coplanar, the prove that a=-4.

The number of real values of a for which the vectors hati+2hatj+hatk, ahati+hatj+2hatk and hati+2hatj+ahatk are coplanar is

Show that the vectors a =3hati - 2hatj+hatk, b=hati - 3hatj+5hatk and c=2hati+hatj-4hatk form a right angled triangle.

Show that the vectors a =3hati - 2hatj+hatk, b=hati - 3hatj+5hatk and c=2hatj+hatj-4hatk form a right angled triangle.

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

Show that the vectors 2hati-hatj+hatk and hati-3hatj-5hatk are at righat angles.

Prove that points hati+2hatj-3hatk, 2hati-hatj+hatk and 2hati+5hatj-hatk form a triangle in space.