Home
Class 12
MATHS
Consider points A,B,C and D with positio...

Consider points A,B,C and D with position vectors `7hati-4hatj+7hatk, hati-6hatj+10hatk, hati-3hatj+4hatk and 5hati-hatj+5hatk` respectively. Then ABCD is a (A) square (B) rhombus (C) rectangle (D) parallelogram but not a rhombus

A

square

B

rhombus

C

rectangle

D

none of these

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -I)|21 Videos
  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -II)|15 Videos
  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL-II)|41 Videos
  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

Show that the points A, B and C with position vectors -2hati+3hatj+5hatk, hati+2hatj+3hatk and 7hati-hatk respectively are collinear

Show that the points with position vectors hati+2hatj+7hatk, 2hati+6hatj+3hatk and 3hati+10hatj-hatk are collinear

Knowledge Check

  • Consider points A,B,C annd D with position vectors 7hati-4hatj+7hatk,hati-6hatj+10hatk,-1hati-3hatj+4hatk and 5hati-hatj+5hatk , respectively. Then, ABCD is

    A
    square
    B
    rhombus
    C
    rectangle
    D
    none of these
  • Consider points A, B, C and D with position vectors 7 hati - 4 hat j + 7 hat k , hati - 6 hat j + 10 hat k , - hati - 3 hatj + 4 hatk and 5 hati - hatj + hatk respectively. Then, ABCD is a

    A
    parallelogram but not a rhombus
    B
    square
    C
    rhombus
    D
    rectangle
  • The points with position vectors alpha hati+hatj+hatk, hati-hatj-hatk, hati+2hatj-hatk, hati+hatj+betahatk are coplanar if

    A
    `(1-alpha)(1+beta)=0`
    B
    `(1-alpha)(1-beta)=0`
    C
    `(1+alpha)(1+beta)=0`
    D
    `(1+alpha)(1-beta)=0`
  • Similar Questions

    Explore conceptually related problems

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

    The points with position vectors 5hati + 5hatk, -4hati + 3hatj - hatk and 2hati +hatj + 3hatk

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

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

    If three points A, B and C have position vectors hati + x hatj + 3 hatk, 3 hati + 4 hatj + 7 hatk and y hati -2hatj - 5 hatk respectively are collinear, then (x, y) =