Determine the value of c so that for all...

Determine the value of `c` so that for all real `x` , vectors `c x hat i-6 hat j-3 hat k and x hat i+2 hat j+2c x hat k` make an obtuse angle with each other.

Text Solution

AI Generated Solution

Topper's Solved these Questions

TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS
CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos
VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS
CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

Find the value of c for which the vectors vec a=(clog_2x) hat i-6 hat j+3 hat k and vec b=((log)_2x) hat i+2 hat j+(2c(log)_2x) hat k make an obtuse angle for any x in (0,oo) .

Find the values of x, y and z so that the vectors vec a=x hat i+2 hat j+z hat k and vec b=2 hat i+y hat j+ hat k are equal.

Find the angle between the vectors hat i-2 hat j+3 hat k and 3 hat i-2 hat j+ hat kdot

find the value of x,y and z so that the vectors vec a= x hat i+ 2 hat j+z hat k and vec b = 2 hat i +y hat j +hat k are equal

Find the angle between the vectors hat i-2 hat j+3k and 3 hat i-2 hat j+k

Find the value of x for which the angle between the vectors vec a=2x^2 hat i+4x hat j+ hat k\ a n d\ vec b=7 hat i-2 hat j+x hat k is obtuse.

Find the direction cosines of the following vectors: 2 hat i+2 hat j- hat k 6 hat i-2 hat j-3 hat k 3 hat i-4 hat k

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions

[ veca + vecb vecb + vecc vecc + veca ]=[ veca vecb ...
Text Solution
|
Let vec A=2 vec i+ vec k , vec B= vec i+ vec j+ vec kdot vec C = 4hat...
Text Solution
|
Determine the value of c so that for all real x , vectors c x hat i-6 ...
Text Solution
|
If vec r=x1( vec axx vec b)+x2( vec bxx vec a)+x3( vec cxx vec a) and...
Text Solution
|
[( vec axx vec b)xx( vec bxx vec c)( vec bxx vec c)xx( vec cxx vec a)(...
Text Solution
|
If V be the volume of a tetrahedron and V ' be the volume of another...
Text Solution
|
Let vec a , vec ba n d vec c be three non-coplanar vecrors and ve...
Text Solution
|
A(veca),B(vecb),C(vecc) are the vertices of the triangle ABC and R(vec...
Text Solution
|
Let vec a , vec ba n d vec c be three non-coplanar vectors and v...
Text Solution
|
Let vec a , vec ba n d vec c be three non-coplanar vecrors and ve...
Text Solution
|
The position vectors of point A ,B ,a n dC are hat i+ hat j+ hat k...
Text Solution
|
Let vec a(x)=(sin x) hat i+(cosx) hat j a n d vec b(x)=(cos2x) hat i+...
Text Solution
|
If vec a=2 hat i+ hat j+ hat k , vec b= hat i+2 hat j+2 hat k , vec c...
Text Solution
|
If vec a , vec ba n d vec c are unit vectors satisfying | vec a- v...
Text Solution
|
If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero vec...
Text Solution
|
The vector(s) which is/are coplanar with vectors hat i+ hat j+2 hat...
Text Solution
|
Let vec a=- hat i- hat k , vec b=- hat i+ hat ja n d vec c= hat i+2 h...
Text Solution
|
Let vec a , vec b ,a n d vec c be vectors forming right-hand traid. L...
Text Solution
|
From a point O inside a triangle A B C , perpendiculars O D ,O Ea n dO...
Text Solution
|
Find vec axx vec b ,\ if\ vec a=2 hat i+ hat k\ a n d\ vec b= hat i...
Text Solution
|