Home
Class 12
MATHS
Let vecu be a vector on rectangular cood...

Let `vecu` be a vector on rectangular coodinate system with sloping angle `60^(@)` suppose that `|vecu-hati|` is geomtric mean of `|vecu| and |vecu-2hati|`, where `hati` is the unit vector along the x-axis . Then find the value of `(sqrt2- 1) |vecu|`

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|60 Videos

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|36 Videos

  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -2|47 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

Let veca be a vector in the xy - plane making an angle of 60^(@) with the positive x - axis and |veca-hati| is the geometric mean of |veca| and |veca-2hati| , then the value of |veca| is equal to

If hati-3hatj+5hatk bisects the angle between hata and -hati+2hatj+2hatk , where hata is a unit vector, then

With respect to a rectangular cartesian coordinate system, three vectors are expressed as veca=4hati -hatj , vecb=-3hati" and "vecc=-hatk where hati,hatj,hatk are unit vectors of axis x,y and z then hatr along the direction of sum of these vector is :-

The angle theta between the vector p=hati+hatj +hatk and unit vector along X-axis is

If a=2hati+5hatj and b=2hati-hatj , then the unit vector along a+b will be

If vecA= 3hati+2hatj and vecB= 2hati+ 3hatj-hatk , then find a unit vector along (vecA-vecB) .

Let vecu=2hati-hatj+hatk, vecv=-3hatj+2hatk be vectors and vecw be a unit vector in the xy-plane. Then the maximum possible value of |(vecu xx vecv)|.|vecw| is

Determine that vector which when added to the resultant of vecP=2hati+7hatj-10hatk and vecQ=hati+2hatj+3hatk gives a unit vector along X-axis.

Let vecu and vecv be unit vectors such that vecu xx vecv + vecu = vecw and vecw xx vecu = vecv . Find the value of [vecu vecv vecw ]

Find the resultant of vectors veca=hati-hatj+2hatk and vecb=hati+2hatj-4hatk . Find the unit vector in the direction of the resultant vector.