Expalin how to find addition of vectors and subtration of vectors, also give the situation from everyday life.
Asked by surajsubedi14 | 25th Jul, 2014, 07:55: PM
Vectors are quantities having both magnitude and direction.
ADDITION OF VECTORS.
They cannot be added by the simple laws of addition liike scalars.A vector can be added to another vector of same nature only.
1. When two vectors act in the same direction:
Consider a car moving 3 m due east and then 3 m again due east .If the two displacement vectors are represented by ,then the sum ()of the two displacement vectors will be displacement 6 m due east.
2.When two vectors act in the opposite diection:
Consider a case when a man walks through 5 m due east and then through 3 m due west. then the sum() of the two displacement vectors will be a displacemnt of 2 m due east.
3. When two vectors are inclined at right angles to each other:
Suppose a particle is first displaced through 5m due east and then through 2 m due north and is represented by vectors .The resultant displacement is given as :
The resultant of two or more vectors is a single vector which produces the same effect as the individual vectors produce together.
Vectors cannot be added algebraically but they are added according to the law of vector addition.
There are three laws of vector addition:
1. Triangle law of vector addition
2. Parrallelogram law of vector addition
3. Polygon law of vector addition
SUBTRACTION OF VECTORS
The subtraction of a vector from vector is defined as the addition of vector
In everyday life when you have to calculate both magnitude and direction of a parameter we use vectors like to find the speed and direction of moving objects such as cars boat, airplanes, wind speed.
Two find the relative speed of one moving object with respect to other.We can find the speed and direction of rain falling vertically downwards using vectors.Using vectors we can determine the speed and direction in sail boats etc.
Answered by Jyothi Nair | 30th Jul, 2014, 12:56: PM
- define free fall
- two vectors equal have resultant equal to either find the angle between them
- A force of 2i+3j+2kN acts on a body for 4s and produces a displacement of 3i+4j+5k m. calcuate power.
- If IA×B| = A•B, what is the angle between A and B?
- find angle between P vector and Q vector if resultant is given by R^2=P^2+Q^2.
- Resolve a force of 10 N into two components, if it acts at an angle of 30o with the horizontal.
- Difference between opposite and antiparallel vectors?
- List of vector formulas
- The magnitude of two vectors are equal and angle between them is theta. Show that their resultant divides angle theta equally.
- find the component of 3i+4j along i+j ?
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Verify mobile number
Enter the OTP sent to your number