Choose the correct answer.The value of o...

Choose the correct answer.The value of `overset^^i.(overset^^jxxoverset^^k)+overset^^j.(overset^^ixxoverset^^k)+overset^^k.(overset^^ixxoverset^^j) is` : a)0 b)-1 c)1 d)3

`-1`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

THREE DIMENSTIONAL GEOMETRY
A N EXCEL PUBLICATION|Exercise QUESTION BANK|97 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the vectors overset^^i-2overset^^j+3overset^^k"and"3overset^^i-2overset^^j+overset^^k.

Consider the vectors oversetrarra=overset^^i-overset^^j+overset^^k" and "oversetrarrb=2overset^^i-3overset^^j-5overset^^k : Find oversetrarraxxoversetrarrb

Show that the vectors 2overset^^i-3overset^^j+4overset^^k"and " -4overset^^i+6overset^^j-8overset^^k are collinear.

Find the magnitude of oversetrarra given by oversetrarra =(overset^^i+3overset^^j-2overset^^k)xx(-overset^^i+3overset^^k)

Find lambda and mu if (2overset^^i+6overset^^j+27overset^^k)xx(overset^^i+lambdaoverset^^j+muoverset^^k)=oversetrarr0 .

Show that the four points A,B,C and D with position cectors 4overset^^i+5overset^^j+overset^^k,-overset^^j-k,3overset^^i+9overset^^j+4overset^^k"and"4(-overset^^i+overset^^j+overset^^k) , respectively are coplanar.

Show that the points A(-2overset^^i+3overset^^j +5overset^^k),B(overset^^i+2overset^^j+3overset^^k)"and"C(7overset^^i- overset^^k) are collinear.

The position vectors of the points A,B,C are given to be 2overset^^i+overset^^j-overset^^k,overset^^3i-overset^^2j+overset^^k"and" 1overset^^i+4overset^^j-3overset^^k respectively.Prove that A,B,C are collinear

Show that the vectors veca=overset^^i-2overset^^j+3overset^^k,vecb=-2overset^^i+3overset^^j-4overset^^k and vecc=overset^i-3overset^j+5overset^^k are coplanar.

Find veca.(vecbxxvecc) ,if veca=2overset^^i+overset^^j+3overset^^k.vecb=-overset^^i+2overset^^j+overset^^k and vecc=3overset^^i+overset^^j+2overset^^k .

A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK

A girl walks 4km towards west, then she walks 3 km in a direction 30^@...
Text Solution
|
If veca=vecb+vecc,then is it true that |veca|=|vecb|+|vecc|? Justify y...
Text Solution
|
Find the value of x for which x(overset^^i+overset^^j+overset^^k) is a...
Text Solution
|
Find a vector of magnitude 5 units and parallel to the resultant of th...
Text Solution
|
Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7)are collinear and...
Text Solution
|
Find the position vector of a point R which divides the line joining t...
Text Solution
|
The two adjacent sides of a parallelogram are 2overset^^i-4overset^^j+...
Text Solution
|
Show that the direction cosines of a vector equally inclined to the ax...
Text Solution
|
Let" "veca=overset^^i+4overset^^j+2overset^^k, vecb=3overset^^i-2overs...
Text Solution
|
The scalar product of the vector overset^^i+overset^^j+overset^^k with...
Text Solution
|
If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...
Text Solution
|
Prove that (veca+vecb).(veca+vecb)=|veca|^2+|b|^2 if and only if veca...
Text Solution
|
Choose the correct answer. If theta is the angle between two vectors v...
Text Solution
|
Choose the correct answer. Let veca"and"vecb be two unit vectors and t...
Text Solution
|
Choose the correct answer.The value of overset^^i.(overset^^jxxoverset...
Text Solution
|
If theta is the acute angle between any two vectors " "veca" and "vecb...
Text Solution
|
Write all the unit vectors in XY-plane.
Text Solution
|
If i+j+k,2i+5j,3i+2j-3k,i-6j-k respectively are the position vector of...
Text Solution
|
Let veca,vecb, " and " vecc be three vectors such that |veca|=3,|vecb|...
Text Solution
|
Three vectors veca,vecb,"and" vecc satisfy the conditionveca+vecb+vecc...
Text Solution
|