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CBSE Class 11-science Answered

Add the vectors.
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Asked by dineshchem108 | 09 Sep, 2018, 04:51: PM
answered-by-expert Expert Answer
(Vectors are typed as Bold letters)
 
Part (a)
 
First we construct the vector a+c by constructing the rectangle with given vectors a and c as sides. Then vector a+c is diagonal as shown in fig.(a).
In order to construct vector a+b+c, we redraw the vector a+c at O' with same magnitude and same direction, then we construct paralellogram with vectors b and a+c as sides.
Then diagonal of this parallelogram is the required vector a+b+c .
 
Part (b)
 
First we construct the triangle by connecting the starting point of vector c and ending point of vector b .
Hypotenuse of the triangle is vector b+c as shown in figure (b).
Now we redraw the vector b+c at O' with same magnitude and same direction so that we can construct a parallelogram with sides a and b+c
The diagonal of this parallelogram is the required vector a+b+c .
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