Answer
Verified
377.4k+ views
Hint: The given question actually asks us to find the correct option which will result in the vector $ f $ on addition. The vector in question here is $ f $ which is pointing towards the north west direction. Since all the given vectors in the question have the same magnitude the only deciding factor between the given vectors will be the direction. For the addition of vectors we use what is called the triangle law of vector addition. In this the starting point of the first vector to the ending point of the second vector are joined to find the direction of the vector after addition.
Complete step-by-step answer:
We will check all the options one by one and check if they are correct or not.
The option A here says
$ b + e = f $
But since $ b $ points south and $ e $ points west the resultant vector would be in the south west direction but our vector $ f $ is in the North West direction hence this option is incorrect.
The option B here says,
$ b + c = f $
But since $ b $ points south and $ c $ points east the resultant vector would be in the south east direction but our vector $ f $ is in the North West direction hence this option is incorrect.
The option C here says
$ d + c = f $
But since $ d $ points north and $ c $ points east the resultant vector would be in the north east direction but our vector $ f $ is in the North West direction hence this option is incorrect.
Thus the only option left which is correct is the D
$ d + e = f $
As $ d $ points north and $ e $ points west the resultant vector would be in the north west direction as our vector $ f $ is in the North West direction hence this option is correct.
So, the correct answer is “Option D”.
Note: The vector addition of two vectors can be explained by both the laws,
I.The law of triangle addition.
II.The law of parallelogram addition.
Complete step-by-step answer:
We will check all the options one by one and check if they are correct or not.
The option A here says
$ b + e = f $
But since $ b $ points south and $ e $ points west the resultant vector would be in the south west direction but our vector $ f $ is in the North West direction hence this option is incorrect.
The option B here says,
$ b + c = f $
But since $ b $ points south and $ c $ points east the resultant vector would be in the south east direction but our vector $ f $ is in the North West direction hence this option is incorrect.
The option C here says
$ d + c = f $
But since $ d $ points north and $ c $ points east the resultant vector would be in the north east direction but our vector $ f $ is in the North West direction hence this option is incorrect.
Thus the only option left which is correct is the D
$ d + e = f $
As $ d $ points north and $ e $ points west the resultant vector would be in the north west direction as our vector $ f $ is in the North West direction hence this option is correct.
So, the correct answer is “Option D”.
Note: The vector addition of two vectors can be explained by both the laws,
I.The law of triangle addition.
II.The law of parallelogram addition.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE