The edges of a parallelopiped are of unit length and are parallel to non coplanar unit vectors a^, b^,c^, such that a^.b^=b^c^=c^.a^=1/2. What is the volume of the parallelopiped?

Question

Shivam Dimri · Answer

volume of the parallelopiped is given by:-

a.(b×c) .....(i)

going by the question these unit vectors are arranged at 60 degree andle to each other

so easily if you visualise the diagram taking b vector and c vector on 1 plane

then a vecotr will make 45 degree with the vertical!!!

so magnitude of the expression (i) is:-

1 * cos45

1/√2 suare units

pls like it too

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

The edges of a parallelopiped are of unit length and are parallel to non coplanar unit vectors a^, b^,c^, such that a^.b^=b^c^=c^.a^=1/2. What is the volume of the parallelopiped?

The edges of a parallelopiped are of unit length and are parallel to non coplanar unit vectors a^, b^,c^, such that a^.b^=b^c^=c^.a^=1/2. What is the volume of the parallelopiped?

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Vectors

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

IIT JEE Courses

One Year IIT Programme

Two Year IIT Programme

Crash Course

NEET Courses

One Year NEET Programme

Two Year NEET Programme

One to One

School Board

Live Online classes

Class 11 & 12

Class 9 & 10

Class 6, 7 & 8

Test Series

JEE test series

NEET test series

C.B.S.E test series

Complete Self Study Packages

FULL COURSE

For class 12th

For class 11th

The edges of a parallelopiped are of unit length and are parallel to non coplanar unit vectors a^, b^,c^, such that a^.b^=b^c^=c^.a^=1/2. What is the volume of the parallelopiped?

The edges of a parallelopiped are of unit length and are parallel to non coplanar unit vectors a^, b^,c^, such that a^.b^=b^c^=c^.a^=1/2. What is the volume of the parallelopiped?

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Vectors

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship