Find the value of 'x' for which 'x(hati+...

Find the value of 'x' for which 'x(hati+hatj+hatk)' is a unit vector.

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

Find the projection of the vector veca=2 hati+3 hatj+2 hatk on the vector vecb=hati+2 hatj+hatk .

The scalar product of the vector hati+hatj+hatk with a unit vector along the sum of vectors 2 hati+4 hatj-5 hatk and lambda hati+2 hatj+3 hatk is equal to one. Find the value of lambda

Find the unit vector in the direction of the sum of the vectors, veca=2 hati+2 hatj-5 hatk and vecb=2 hati+2 hatj+3 hatk

i) Compute |hati+hatj+hatk| ii) If veca=2 hati+3 hatj+6 hatk , find the unit vector along veca .

Find the values of x and y so that the vectors 2 hati+3 hatj and x hati+y hatj are equal.

Find the angle between the vectors veca=hati+hatj-hatk and vecb=hati-hatj+hatk

The two adjacent sides of a parallelogram are '2 hati-4 hatj+5 hatk' and 'hati .-2 hatj-3 hatk .' Find the unit vector parallel to its diagonal. Also find its,area.

Find a vector in the direction of the vector '-hati+2 hatj+2 hatk' that has magnitude '7 .'

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK

Find the scalar components and magnitude of the vector joining the poi...
Text Solution
|
If 'veca=vecb+vecc', then is it true that '|veca|=|vecb|+|vecc| ?' Jus...
Text Solution
|
Find the value of 'x' for which 'x(hati+hatj+hatk)' is a unit vector.
Text Solution
|
Find a vector of magnitude 5 units and parallel to the resultant of th...
Text Solution
|
if veca=hati+hatj+hatk, vecb=2 hati-hatj+3 hatk and vecc=hati-2 hatj+h...
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 '2 hati-4 hatj+5 hatk' a...
Text Solution
|
Show that the direction cosines of a vector equally inclined to the ax...
Text Solution
|
Let ' veca=hati+4 hatj+2 hatk, vecb=3 hati-2 hatj+7 hatk' and 'vecc=2 ...
Text Solution
|
The scalar product of the vector hati+hatj+hatk with a unit vector alo...
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
|
Let 'veca' and 'vecb' be two unit vectors and 'theta' is the angle bet...
Text Solution
|
The value of hati.(hatj xx hatk)+hatj.(hati xx hatk)+hatk.(hati xx hat...
Text Solution
|
If theta is the angle between any two vectors veca and vecb, then |vec...
Text Solution
|
Prove that the Iine joining the midpoints of the two sides of a triang...
Text Solution
|
Find the projection of vector hati-hatj on the vector hati+hatj
Text Solution
|
Show that the line segment joining the midpoints of two 'sides of a t...
Text Solution
|