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Thought-Process to Discover Knowledge

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Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

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mathsVector AlgebraVector Addition

Triangular Law

In this page, the triangular law of vector addition is explained as sequential addition of vectors.

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In a bucket there is `20` liter water and another `10` liter water is poured in. How much water is there in the bucket?

  • `20+10`
  • `30`
  • both the above
  • both the above
  • none of the above

Answer is 'both the above'. Scalar quantities can be added sequentially.

Two taps simultaneously fill a bucket. one fills at `20` liter per hour and another fills at `10` liter per hour. How much water will the bucket have at the end of an hour?

  • `30`
  • `30`
  • `20`
  • `10`
  • none of the above

Answer is '`30`'. Scalar quantities can be added continuously.

We have seen that two ways scalar quantities can be added - Sequentially and Continuously.

How about vectors?

A person walks for `1` units at `24^@` , then from that point, walks for `2.3` units at `43^@` angle. vector addition example triangular law Addition of these two vectors is an example of which of the following?s

  • Sequential addition of vectors
  • Sequential addition of vectors
  • Continuous addition of vectors
  • Does not look to be vector addition

The answer is 'sequential addition of vectors' ; at the end of the first vector, the second vector starts and added.

Two vectors are added sequentially as given in the figure.triangular law of vector addition What is the result of the addition?

  • the third side of triangle
  • the third side of triangle
  • it does not make a triangle.

Answer is 'the third side of the triangle'.

Two vectors forms a triangle with the sum as the third side of the triangle.

Triangular Property of vector addition: triangular law of vector addition When two vectors are added, arrange the initial point of the second vector to the terminal point of the first vector. In that position, complete the triangle with the two vectors as the two sides. The third side, connecting initial point of the first vector and the terminal point of the second vector, is the sum of the two vectors.

slide-show version coming soon