what is the formula to find the magnitude of a vector?
317221
The formula for the magnitude of a vector can be generalized to arbitrary dimensions. For example, if a=(a1,a2,a3,a4) is a four-dimensional vector, the formula for its magnitude is ∥a∥=√a21+a22+a23+a24.
615082
['TotalM+1 = TotalM + VM+1 - V(M-n+1)', 'NumeratorM+1 = NumeratorM + n*VM+1 - TotalM.', 'WMAM+1 = NumeratorM+1 / (n*(n+1)/2)']
1326019
The magnitude of the vector corresponds to the length of the arrow, and the direction of the vector corresponds to the angle between the arrow and a coordinate axis. The sense of the direction is indicated by the arrowhead." ... So the sense tells us the order so to speak in which to read the vector.
1183718
Volume Formula: Volume = l × w × h , where l is length, w is width and h is height. Volume = 4/3 πr³ , where r is the radius.
1305686
An easier way to find the angle between two vectors is the dot product formula(A.B=|A|x|B|xcos(X)) let vector A be 2i and vector be 3i+4j. As per your question, X is the angle between vectors so: A.B = |A|x|B|x cos(X) = 2i.
1031401
['subtract them in any order.', 'take the absolute value of the result.']
1464730
Magnitude answers “how much?” and direction answers “which way?”. For example, 5 meters is a magnitude, North is a direction. 5 meters north is a vector quantity, which has both magnitude and direction.
204006
Since the two vectors are given to be parallel, the angle between them is zero. So the dot product becomes |a||b| cos 0° = |a||b|. The dot product of two parallel vectors is the product of their magnitudes.
1257288
For example, if a=(a1,a2,a3,a4) is a four-dimensional vector, the formula for its magnitude is ∥a∥=√a21+a22+a23+a24.
358413
Vector, in physics, a quantity that has both magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity's magnitude. Although a vector has magnitude and direction, it does not have position.
748983
['the formula is.', 's = ut + 0.5 at^2.', 'where s is the distance, u is the initial velocity (speed is the magnitude of velocity), a is the acceleration and t is the time.', 'Put all the values in the above formula and you will get an equation for t. ... ', 'You can also solve these two equations:']
440706
A resultant is a vector. ... It is a scalar, not a vector itself. If you imagine a vector graphically as an arrow then it's magnitude represents the length of the arrow. A vector also has a direction, which is not included in a magnitude.
55607
To add or subtract two vectors, add or subtract the corresponding components. Let →u=⟨u1,u2⟩ and →v=⟨v1,v2⟩ be two vectors. The sum of two or more vectors is called the resultant. The resultant of two vectors can be found using either the parallelogram method or the triangle method .
1463643
A vector is intensity and direction. Direction has no length, so the length is a measure of intensity, and the direction is the same throughout. This is why a vector is always straight: it's zero length, and the length actually measures force or speed or displcement.
110242
To find a unit vector with the same direction as a given vector, we divide by the magnitude of the vector. For example, consider the vector v = (1, 3) which has a magnitude of . If we divide each component of v by we will get the unit vector uv which is in the same direction as v: .
67952
['Apply the equation. to find the magnitude, which is 1.4.', 'Apply the equation theta = tan–1(y/x) to find the angle: tan–1(1.0/–1.0) = –45 degrees. However, note that the angle must really be between 90 degrees and 180 degrees because the first vector component is negative and the second is positive.']
482527
['Apply the Pythagorean theorem to find the magnitude. Plug in the numbers to get 5.1.', 'Apply the equation theta= tan–1(y/x) to find the angle. Plug in the numbers to get tan–1(5.0/1.0) = 79 degrees.']