Let vecA=hatiA Cos theta+hatjA Sintheta,...

Let `vecA=hatiA Cos theta+hatjA Sintheta`, be any vector, Another vector `vecB` which is normal to `vecA` is :

`hatiB cos theta + hatj B sintheta

`hatiBsin theta + hatjB costheta `

`hatiB sintheta - hatjB cos theta `

`hatiA costheta- hatj A sin theta`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

BASIC MATHEMATICS USED IN PHYSICS &VECTORS
ALLEN |Exercise CROSS PRODUCT|15 Videos
BASIC MATHEMATICS USED IN PHYSICS &VECTORS
ALLEN |Exercise EXERCISE-II AIPMT/NEET & AIIMS (2006- 2018)|6 Videos
BASIC MATHEMATICS USED IN PHYSICS &VECTORS
ALLEN |Exercise RESOLUTION OF VECTOR|8 Videos
CENTRE OF MASS
ALLEN |Exercise EXERCISE-V B|19 Videos

Similar Questions

Explore conceptually related problems

The values of x for which the angle between the vectors veca =xhati - 3hatj-hatk and vecb = 2x hati + x hatj -hatk is acute, and the angle, between the vector vecb and the axis of ordinates is obtuse, are

Find the unit vector in the direction of the vector veca=hati+hatj+2hatk .

If hatn is a unit vector in the direction of the vector vecA , then hatn is

The angle made by the vector vecA=hati+hatj with x-axis is

If vecA=2hati-2hatj-hatk and vecB=hati+hatj , then : (a) Find angle between vecA and vecB . (b) Find the projection of resultant vector of vecA and vecB on x-axis. (c) Find a vector which is, if added to vecA , gives a unit vector along y-axis.

If the vectors hati-hatj, hatj+hatk and veca form a triangle then veca may be

If veca and vecb are two unit vectors and theta is the angle between them, then the unit vector along the angular bisector of veca and vecb will be given by

The angle between vectors (vecA xx vecB) and (vecB xx vecA) is :

There are two vectors vecA=3hati+hatj and vecB=hatj+2hatk . For these two vectors- (a) Find the component of vecA along vecB in vector form. (b) If vecA & vecB are the adjacent sides of a parallalogram then find the magnitude of its area. (c) Find a unit vector which is perpendicular to both vecA & vecB .

Show that the area of the triangle contained between the vectors veca and vecb is one half of the magnitude of vecaxxvecb .

ALLEN -BASIC MATHEMATICS USED IN PHYSICS &VECTORS -DOT PRODUCT

What is the angle between vecA and the resultant of (vecA+vecB) and (v...
Text Solution
|
If hatn=ahati+bhatj is perpendicualr to the vector (hati+hatj), then t...
Text Solution
|
Given that vecA=vecB . What is the angle between (vecA+vecB) and (vecA...
Text Solution
|
The vector sum of two forces is perpendiuclar to their vector differen...
Text Solution
|
The magnitudes of vectors vecA,vecB and vecC are respectively 12,5 and...
Text Solution
|
If vectors vecP, vecQ and vecR have magnitudes 5, 12 and 13 units and ...
Text Solution
|
A vector perpendicular to (4hati-3hatj) may be :
Text Solution
|
A force (3hati+2hatj) N displaces an object through a distance (2hati-...
Text Solution
|
If vecP.vecQ=PQ then angle between vecp and vecQ is :
Text Solution
|
The resultant of vecA and vecB is perpendicular to vecA. What is the a...
Text Solution
|
What is the component of (3hati+4hatj) along (hati+hatj) ?
Text Solution
|
The vector vecB=5hati+2hatj-Shatk is perpendicular to the vector vecA=...
Text Solution
|
What is the projection of vecA on vecB ?
Text Solution
|
The angle between the vectors (hati+hatj) and (hatj+hatk) is
Text Solution
|
The angles between the two vectors vecA=5hati+12hatj+13hatk and vecB=5...
Text Solution
|
Let vecA=hatiA Cos theta+hatjA Sintheta, be any vector, Another vector...
Text Solution
|
The vector vecP=ahati+ahatj+3hatk and vecQ=ahati-8hatj-3hatk, are perp...
Text Solution
|
A force vecF=(3hati+4hatj) newton acts on a body and displaces it by v...
Text Solution
|
The veetor proheetion of vector 3hati+4hatk on y-axis.
Text Solution
|
If a vector (2hati+3hatj+8hatk) is perpendicular to the vector (4hatj-...
Text Solution
|