it is placed at the tip of the first vector
x² + x² = 2x²
It is a polynomial expression in x. What about it?
The difference between a fixed second mortgage and one with a variable rate is that fixed second mortgage has a fixed rate and is commonly thought of as safer than a mortgage with a variable rate.
You cannot have a simultaneous equation: you must have 2 or more equations for there to be any simultaneity.The simplest method to solve them is to invert the matrix of coefficients but this requires you to know matrix algebra and the question suggests tha you are not that advanced.In that case, express any one of the variables in terms of the other two. Substitute the resulting expression in the other equation(s). Repeat until you have only one variable. Find its value and substitute in the previous equation. That will then enable you to find a second variable. And so on.
At the maximum point of a function, the value of the second derivative is less than or equal to zero. Specifically, if the second derivative is negative, it indicates that the function is concave down at that point, confirming a local maximum. If the second derivative equals zero, further analysis is needed to determine the nature of the critical point, as it may be an inflection point or a higher-order maximum.
it depends on the method of subtraction. If the vectors are drawn graphically then you must add the negative of the second vector (same magnitude, different direction) tail to tip with the first vector. If the drawing is to scale, then the resultant vector is the difference. If you are subtracting two vectors <x1, y1> - <x2, y2> then you can subtract them component by component just like scalars. The same rules apply to 3-dimensional vectors
I assume you mean adding vectors? Graphical: Draw them head-to-tail. Move the vectors around without rotating them. Analytically: Separate the vectors into components. For example, in two dimensions, separate them into x and y components. Add the numbers for each dimension.
Vectors can be added by placing the head of one vector at the tail of another vector. The resulting sum is the vector starting from the tail of the first vector to the head of the second vector. This process is known as the head-to-tail method of vector addition.
Triangle law of vectors or parallelogram law of vectors. Just while subtracting change the direction of the vector which is to be subtracted and add along with the one from which it is to be subtracted. Just as we change the sign and add in case of subtraction of numbers. Answer2: Vectors are added and subtracted by component. A=a1 + a2 and B=b1 + b2 then C = A + B = (a1 + b1) + (a2 + b2) = c1 + c2 .
actually it represents the concavity or convexity of a curve
Vectors are added head to tail by placing the tail of the second vector at the head of the first vector. The resultant vector points from the tail of the first vector to the head of the second vector, forming a triangle. The length and direction of the resultant vector are determined by the magnitudes and directions of the original vectors.
You could draw a circle [center at origin] with radius of (a + b), for the two magnitudes a and b. This represents the sum of the magnitudes. Then draw one of the vectors starting at the origin [suppose it's vector a], and then draw a circle centered at the endpoint of vector a, with a radius of b. Drawing a circle demonstrates how the second vector can point in any direction relative to the first vector. The distance from the origin to a point on this second circle is the magnitude of the resultant vector. Graphically this second circle will be entirely inside the first circle and touching it at just one point. Since it lies within the first circle, the distance from the origin to a point on that circle will be less than or equal to the radius of the first circle.
adding vectorsTo add two vectors, s+z, simply move the vector z to the end of the vector s.subtracting vectorsTo find the magnitude and direction of the difference between two vectors, s-z, simply draw a vector from z to s
we can add vectors by head to tail rule.THe head of first vector to the tell of second vector.And for the resultant vector we can add the tail of first vector to the head of second vector. we can add more than three vectors to give a resultant is equal to zero by joining head to tail rule as to form polygan .
It depends on what the second method is!
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When adding vectors using the head-to-tail method, you place the head of the second vector at the tail of the first vector. The resultant vector is drawn from the tail of the first vector to the head of the second vector. This technique preserves both magnitude and direction of the vectors being added.