state triangle laws of vector additon find magnitude of resultant of two vectors inclined at angle theta also find directon of resultant
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Triangle law of vector addition:
If two vectors of a same physical quantity are represented in magnitude and direction by the two sides of triangle, then their Resultant is represented in magnitude and direction by the third side.
Note:
Graph is used for finding the resultant vector by the triangle law of vector addition.
e.g. ( Question in the attachment )
Let A and B be the two forces of 40 N and 50 N respectively ( angle between the vectors is given if question is to be solved by triangle law of vector addition. )
Steps and Method:
- Take 5 N = 1 unit ( can take any measures )
- Draw the line for vector A as per the given direction (refer attachment)
- The starting point is tail and the point on the end is head.
- Draw the vector for B by starting it's tail from head of vector A as per given direction.
- Join tail of vector A to the head of vector B by making a line .
- Mark head of vector C at line joined at head of vector B.
- Measure vector C which is formed joining tail of vector A and head of vector B.
- Convert it in to N ( assumed in starting )
- Direction of the resultant vector will be same formed while joining tail of vector A and head of vector B.
Attachments:
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