Find the least positive integral value o...

Find the least positive integral value of `x` for which the angle between vectors ` vec a=x hat i-3 hat j- hat k` and `vec b=2x hat i+x hat j- hat k` is acute.

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 angle between the vectors vec a= hat i- hat j+ hat k\ a n d\ vec b= hat i+ hat j- hat kdot

Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=hat i-hat j+hat 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 cosine of the angle between the vectors vec a= 3 hat i +2 hat k and vec b = 2 hat i -2 hat j + 4 hat k

Find the vector of magnitude 3, bisecting the angle between the vectors vec a=2 hat i+ hat j- hat k and vec b= hat i-2 hat j+ hat kdot

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 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 | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat k

Find | vec a xx vec b|, if vec a=2 hat i+ hat j+3 hat k and vec b=3 hat i+5 hat j-2 hat k .

Find the angle between vec(A) = hat(i) + 2hat(j) - hat(k) and vec(B) = - hat(i) + hat(j) - 2hat(k)

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions

Show, by vector methods, that the angularbisectors of a triangle are c...
Text Solution
|
Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...
Text Solution
|
Find the least positive integral value of x for which the angle betwee...
Text Solution
|
If vectors vec a= hat i+2 hat j- hat k , vec b=2 hat i- hat j+ hat k ...
Text Solution
|
Find the values of lambda such that x ,y ,z!=(0,0,0) and ( hat i+ hat ...
Text Solution
|
A vector has component A1, A2a n dA3 in a right -handed rectangular Ca...
Text Solution
|
The position vectors of the point A ,B ,C and D are 3 hat i-2 hat j- h...
Text Solution
|
Let O A C B be a parallelogram with O at the origin andO C a diagonal....
Text Solution
|
In a triangle A B C ,Da n dE are points on B Ca n dA C , respectivley,...
Text Solution
|
Prove by vector method that the line segment joining the mid-points...
Text Solution
|
If the resultant of two forces is equal in magnitude to one of the ...
Text Solution
|
The axes of coordinates are rotated about the z-axis through an angle ...
Text Solution
|
Three coinitial vectors of magnitudes a, 2a and 3a meet at a point ...
Text Solution
|
If two side of a triangle are hat i+2 hat j and hat i+ hat k , then...
Text Solution
|
If in parallelogram ABCD, diagonal vectors are vec A C=2 hat i+3 ha...
Text Solution
|
Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b...
Text Solution
|
Check whether the three vectors 2 hat i+2 hat j+3 hat k ,-3 hat i+3...
Text Solution
|
The midpoint of two opposite sides of a quadrilateral and the midpo...
Text Solution
|
Prove that the lines joining the vertices of a tetrahedron to the ce...
Text Solution
|
Find the angle of vector vec a = 6 hat i + 2 hat j - 3 hat k with x -...
Text Solution
|