Home
Class 12
MATHS
Let veca=hati + hatj +hatk,vecb=hati- ha...

Let `veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj - hatk` be three vectors. A vectors `vecv` in the plane of `veca and vecb` , whose projection on `vecc is 1/sqrt3` is given by

A

`hati -3hatj + 3hatk`

B

`-3hati - 3hatj- hatk`

C

`3hati -hatj + 3hatk`

D

`hati + 3hatj - 3hatk`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (INTEGER TYPE)|4 Videos

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos

  • VECTORS

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

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

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

Similar Questions

Explore conceptually related problems

Let veca=2hati+hatj+hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2hatk be three vectors . A vector in the plane of vecb and vecc whose projection on veca is of magnitude sqrt((2/3)) is (A) 2hati+3hatj+3hatk (B) 2hati+3hatj-3hatk (C) -2hati-hatj+5hatk (D) 2hati+hatj+5hatk

Let veca=2hati=hatj+hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2hatk be three vectors . A vector in the pland of vecb and vecc whose projection on veca is of magnitude sqrt((2/3)) is (A) 2hati+3hatj+3hatk (B) 2hati+3hatj-3hatk (C) -2hati-hatj+5hatk (D) 2hati+hatj+5hatk

Let veca=hati+hatj+hatk, vecb=hati-hatj+hat2k and vecc=xhati+(x-2)hatj-hatk . If the vector vecc lies in the plane of veca and vecb then x equals

Let veca=hati+2hatj +hatk, vec=hati-hatj+hatk and vecc=hati+hatj-hatk . A vector in the plane of veca and vecb whose projection on vecc is 1/sqrt(3) is (A) 4hati-hatj+4hatk (B) hati+hatj-3hatk (C) 2hati+hatj-2hatk (D) 4hati+hatj-4hatk

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

Let veca=hati-hatj+hatk, vecb=2hati+hatj+hatk and vecc=hati+hatj-2hatk , then the value of [(veca, vecb, vecc)] is equal to

Let veca=hati+2hatj+3hati, vecb=hati-hatj+2hatk and vecc=(x-2)hati-(x-3)hatj-hatk . If vecc lies in the plane of veca and vecb , then (1)/(x) is equal to

If veca=hati-2hatj+3hatk, vecb=2hati+3hatj-hatk and vecc=rhati+hatj+(2r-1)hatk are three vectors such that vecc is parallel to the plane of veca and vecb then r is equal to,

If veca =hati + hatj-hatk, vecb = - hati + 2hatj + 2hatk and vecc = - hati +2hatj -hatk , then a unit vector normal to the vectors veca + vecb and vecb -vecc , is

Home
Profile