The magnitudes of mutually perpendicular...

The magnitudes of mutually perpendicular forces a,b and c are 2,10 and 11 respectively. Then the magnitude of its resultant is

none of these

Text Solution

Verified by Experts

The correct Answer is:

`R=sqrt(4+100+121)=15`

Topper's Solved these Questions

VECTOR ALGEBRA
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|7 Videos
VECTOR ALGEBRA
ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|3 Videos
VECTOR ALGEBRA
ARIHANT MATHS|Exercise Exercise For Session 3|11 Videos
TRIGONOMETRIC FUNCTIONS AND IDENTITIES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

The maximum and minimum magnitude of the resultant of two vectors are 17 units and 7 units respectively. Then the magnitude of the resultant of the vectors when they act perpendicular to each other is :

The maximum and minimum magnitudes of the resultant of two forces are 5 N and 5N respectively. Find the magnitude of resultant force when act orthogonally to each other.

ABC is an isosceles triangle right angled at A. forces of magnitude 2sqrt(2),5 and 6 act along BC, CA and AB respectively. The magnitude of their resultant force is

The greatest & the least magnitude of the resultant of two forces of constant magnitudes are P & Q respectively. If the forces act at an angle 2 alpha , then prove that the magnitude of their resultant is given by sqrt(P^(2) cos^(2) alpha+Q^(2) sin^(2) alpha) .

The magnitude of x and y components of vec(A) are 7 and 6 respectively . Also , the magnitudes of x and y components of vec(A)+vec(B) are 11 and 9 respectively . Calculate the magnitude of vector vec(B)

When two vectors vecA and vecB of magnitudes a and b respectively are added, the magnitude of resultant vector is always

If the magnitudes of the vectors A, B and C are 6, 8, 10 units respectively and if A + B = C, then the angle between A and C is -

Two forces are such that the sum of their magnitudes is 18 N and their resultant is perpendicular to the smaller force and magnitude of resultant is 12 N. Then the magnitudes of the forces are

ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)

If a and b are two non-zero and non-collinear vectors then a+b and a-b...
Text Solution
|
If |veca+ vecb| lt | veca- vecb|, then the angle between veca and vecb...
Text Solution
|
The magnitudes of mutually perpendicular forces a,b and c are 2,10 and...
Text Solution
|
If hati-3hatj+5hatk bisects the angle between hata and -hati+2hatj+2ha...
Text Solution
|
Let vec a= hat i be a vector which makes an angle of 120^@ with a unit...
Text Solution
|
Given three vectors a=6hati-3hatj,b=2hati-6hatj and c=-2hati+21hatj su...
Text Solution
|
' I ' is the incentre of triangle A B C whose corresponding sides are ...
Text Solution
|
If vec x andvec y are two non-collinear vectors and a triangle ABC wit...
Text Solution
|
If vec xa n d vec y are two non-collinear vectors and a, b, and c ...
Text Solution
|
If the resultant of two forces is equal in magnitude to one of the ...
Text Solution
|
If vec b is a vector whose initial point divides thejoin of 5 hat ...
Text Solution
|
If 4hati+ 7hatj+ 8hatk, 2hati+ 3hatj+ 4hatk and 2hati+ 5hatj+7hatk are...
Text Solution
|
If veca and vecb are two unit vectors and theta is the angle between t...
Text Solution
|
A,B,C and D have position vectors a,b,c and d, respectively, such that...
Text Solution
|
On the xy plane where O is the origin, given points, A(1, 0), B(0, 1) ...
Text Solution
|
If a +b+c = alphad, b+c+d=beta a and a, b, c are non-coplanar, then t...
Text Solution
|
The position vectors of the points P and Q with respect to the origin ...
Text Solution
|
ABCD is a quadrilateral. E is the point of intersection of the line jo...
Text Solution
|
In the triangle OAB, M is the midpoint of AB, C is a point on OM, such...
Text Solution
|
Points X and Y are taken on the sides QR and RS, respectively of a par...
Text Solution
|