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(a) What is the sum in unit-vector notation of the two vectors (b) What are the magnitude and the direction of ?

(a) What is the sum in unit-vector notation of the two vectors  (b) What are the magnitude and the direction of ?

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
9 years ago
Consider two vectors given as:
232-1862_50.PNG
Then the sum (say \overrightarrow{c}) of the above two vectors can be stated in unit vector notation as:
232-1572_51.PNG
Given:
232-2286_52.PNG
(a) From above it is clear that the sum of the vectors \overrightarrow{a}and vector \overrightarrow{b}can be given in the unit vector notation as:
\overrightarrow{c} = \overrightarrow{a} + \overrightarrow{b}
Comparing the given vectors to the vectors represented by equation (1) and (2), we have
Therefore the sum of the vectors in unit vector notation is .
232-2190_53.PNG
Therefore the sum of the vectors in unit vector notation is 2\widehat{i} + 5\widehat{j}.
232-2385_54.PNG232-1270_55.PNG

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