Table of Contents
What is the maximum and minimum value of vector?
R is maximum when Cos ( A, B) = +1 ie angle between vectors A and B is zero ie vectors A and B are parallel to each other. The resultant of two vector is minimum when both vectors are equal and in opposite direction i.e. the angle between the vector is 180 degrees.
What is the maximum magnitude of AB −?
Maximum magnitude would be A+B at angle of 1800 degree between the vectors.
How do you find the maximum and minimum magnitude of a vector sum?
A vector has both magnitude and direction. For addition of vectors we need both magnitude and direction. R=√|A|2+|B|2+2|A||B|cos θ R = | A | 2 + | B | 2 + 2 | A | | B | cos . Resultant is maximum when cos θ = 1 and it will be minimum when cos θ = – 1.
What is the maximum and minimum value of the resultant of two vectors?
Hint: The maximum resultant of 2 vectors is when the angle between them is 0 and the minimum resultant is when the angle between them is 180.
How do you find the maximum value of a vector?
To find a largest or maximum element of a vector, we can use *max_element() function which is defined in header. It accepts a range of iterators from which we have to find the maximum / largest element and returns the iterator pointing the maximum element between the given range.
How do you find the maximum element of a vector?
For a vector of ascending order the first element is the smallest element, you can get it by v[0] (0 based indexing) and last element is the largest element, you can get it by v[sizeOfVector-1].
What is the maximum value of a vector b vector?
|b|cos t which has minimum and maximum values according as cos t has minimum or maximum values i.e. 1 or (-1). Hence a+b has maximum modulus |a|+|b|, when the vectors point in the same direction and minimum modulus | |a|-|b| | when they point in opposite directions.
When two vectors A and B of magnitudes A and B respectively are added the magnitude of resultant vector is always?
equal to (a+b)
What is maximum and minimum magnitude?
The maximum magnitude of the resultant of two vectors = A + B. Minimum magnitude of the resultant of two vectors = A – B. Here, 648 Views.
What is the maximum magnitude of vector?
All that can be said for certain is that 8 + 6 can add up to a vector with a maximum magnitude of 14 and a minimum magnitude of 2. The maximum is obtained when the two vectors are directed in the same direction. The minimum s obtained when the two vectors are directed in the opposite direction.
What is the maximum and minimum value of the resultant?
Maximum and minimum values of the resultant of two forces acting at a point are 7 N and 3 N respectively . The smaller force will be equal to. ∴ A=5 and B =2.
What is the minimum and maximum possible resultant of two forces 2N and 1N?
1 N is the minimum possible resultant of two forces 2N and 1N.
What is the negative value of a vector b?
The negative of any vector X is -X. So, the negative of vector B is -B. It represents a vector of equal magnitude, pointing exactly in the opposite direction. What is the value of log (a+b)?
How do you maximize the magnitude of two vectors?
If a = b, the magnitudes are 2|a| and 0 respectively. Make a as large as you want. If you want to maximise both then simply make a very large and b very small. Then both vectors are large. To minimise make both vectors 0.
Does the function have an absolute maximum and an absolute minimum?
So, the function does not have an absolute maximum. Note that it does have an absolute minimum however. In fact the absolute minimum occurs twice at both x =−1 x = − 1 and x =1 x = 1. the function would now have both absolute extrema.
What is the maximum modulus of a+B?
Hence a+b has maximum modulus |a|+|b|, when the vectors point in the same direction and minimum modulus | |a|-|b| | when they point in opposite directions.