﻿ Three vectors  taken two at a time form three planes. The three unit vectors drawn perpendicular to three planes form a parallelopiped of volume   : Kaysons Education

# Three Vectors  taken Two At A Time Form Three Planes. The Three Unit Vectors Drawn Perpendicular To Three Planes Form A Parallelopiped Of Volume

#### Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

#### Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

#### National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

#### Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

#### Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

## Question

### Solution

Correct option is

∴ Required volume

Now,

And,

Hence, required volume

#### SIMILAR QUESTIONS

Q1

For three vectors  which of the following expressions is not equal to any of the remaining three?

Q2

are linearly dependent vectors and , then

Q3

The volume of the tetrahedron whose vertices are the points with position vectors  and  is 11 cubic units if the value of λ is

Q4

If a vector  is expressed as the sum of two vectors  along and perpendicular to a given vector

Q5

are two given vectors. On these vectors as adjacent sides a parallelogram is constructed. The vector which is the altitude of the parallelogram and which is perpendicular to  is not equal to

Q6

Let  be a unit vector and  a non-zero vector not parallel to . The angles of the triangle, two of whose sides are represented by

Q7

If  is a vector such that  and the angle between  is 30o, then

Q8

Let  be two non-collinear unit vectors. If

Q9

If the vectors  are coplanar, then the value of pqr – (p + q + r) is

Q10

If  are any three vectors such that