wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Consider the points A,B,C,D with position vectors 7^i4^j+7^k, ^i6^j+10^k, ^i3^j+4^k, 5^i^j+^k respectively. Then ABCD is a

A
Square
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Rhombus
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Parallelogram but not a rhombus
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Rectangle
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A Rhombus
AB=6^i2^j+3^k
BC=2^i+3^j6^k
CD=6^i+2^j3^k
DA=2^i3^j+6^k
AB=λCDBC=λDAABCDBCDA
AB=CD=BC=DA
AB.BC0
So ABCD is a Rhombus

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Angle Bisectors
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon