Home
Class 12
MATHS
If vectors axhati+3hatj-5hatk and xhati+...

If vectors `axhati+3hatj-5hatk and xhati+2hatj+2axhatk` make an acute angle with each other, for all `x in R` then a belongs to the interval

A

`(-1/4,0)`

B

`(0,6/50)`

C

`(0,6/25)`

D

`(-3/25,0)`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

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

The values of x for which the angle between the vectors veca =xhati - 3hatj-hatk and vecb = 2x hati + x hatj -hatk is acute, and the angle, between the vector vecb and the axis of ordinates is obtuse, are

If the vectors vecP=ahati+ahatj+3hatk' and 'vecQ=ahati-2hatj-hatk are perpendicular to each other. Find the value of a ?

If vector vecP=a hati + a hatj +3hatk and vecQ=a hati -2 hatj -hatk are perpendicular to each other , then the positive value of a is

Determine the value of c so that for the real x, vectors cx hati - 6 hatj - 3 hatk and xhati + 2hatj + 2cx hatk make an obtuse angle with each other .

The values of x for which the angle between the vectors veca = xhati - 3hatj - hatk and vecb = 2xhati + xhatj - hatk is acute and the angle between b and y-axis lies between pi/2 and pi are:

If the vectors veca = ( c log_(2) x ) hati - 6hatj + 3hatk and vecb=(log_(2)x )hati + 2hatj + (2clog_(2)x)hatk make an obtuse angle for any x = ( 0 , oo) then c belongs to

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

If a=4hati+2hatj-hatk and vecb=5hati+2hatj-3hatk find the angle between the vectors veca+vecb and veca-vecb

Show that vectors 3hati-2hatj+2hatk,hati-3hatj+4hatk and 2hati-hatj-2hatk form a right angled triangle