-3
A vector quantity is a physical quantity having magnitude and direction both. For e.g. velocity is a vector quantity and in physics it is velocity is generally denoted as: v (bar) = 2i+3j+4k where in general, i=velocity in x-direction j=velocity in y-direction k=velocity in z-direction 2,3 and 4 are magnitudes respective to their directions.
1.75 + 1.75i7i/2 + 2i = 3.5i + 2i = 5.5i
the conjugate 7-2i
The conjugate of a complex number can be found by multiplying the imaginary part by -1, then adding the "real" part back. (-2i) * -1 = 2i, so the conjugation is 7+2i
0.6-2i?
A vector quantity is a physical quantity having magnitude and direction both. For e.g. velocity is a vector quantity and in physics it is velocity is generally denoted as: v (bar) = 2i+3j+4k where in general, i=velocity in x-direction j=velocity in y-direction k=velocity in z-direction 2,3 and 4 are magnitudes respective to their directions.
You can think of the answer in terms of trigonometry. Your vector, 2i + 3j, is your hypotenuse, and the i and j components are your sides. To better visualize this, draw your vector on a coordinate plane, then draw a line from its end to the y-axis. Now label the angle you're looking for, which I'll call θ (theta), which should be in the bottom corner of the triangle you made with the y-axis. To find θ, you can use any of the inverse trigonometric functions, but for sake of round numbers without square roots, you should use arc tangent (tan-1). Note that from the perspective of θ, 2 is the opposite side, 3 is the adjacent side, and tanθ = opposite/adjacent.
No. The value of a vector is determined by the square root of the sum of its components squared. Value= Sqrt(x^2 + y^2 + z^2). The components of real vectors are real numbers and the square of a real number is a positive number. The sum of a positive and zeros is not zero but a positive. Vectors were created by William Rowan Hamilton in 1843 when he created Quaternions. Quaternions consist of a real number and three vector numbers. The vectors are designated by i, j, k where i^2=j^2=k^2=ijk= -1. The square of a vector is a negative one . This used to be called an imaginary number. The components of vectors are real numbers, like v=2i + 3j -5k, the value of v = sqrt(4 + 9 + 25)=sqrt(38). Complex numbers are a subset of quaternions involving one vector "i".
5
If you wish to add the vectors, then the component parts must be added. For example if one vector is 3i + 2j - 4k, (i j & k are orthogonal direction vectors in the x y and z directions respectively), and say another vector is 2i + 8k {nothing in the j direction}, you would need to add the components individually.So in this example the new i component is (3 + 2)i = 5i and the new j component is (2 + 0)j = 2j, and the new k component is (-4 + 8)k = 4k. The vector sum of those two vectors is 5i + 2j + 4k.
Complex numbers that are to be graphed are usually in the form of an equation, such as 2 + 2i, with 2i signifying the imaginary number. Think of "i" as being the same as "x". When graphing, you have the X-axis (horizontal) and the Y-axis (vertical). The first number is always graphed on the X-axis. The second number, because we don't know if it's positive or negative being that we don't know "i", must be graphed at both 2 and -2 on the Y-axis.
I've got to assume that your ' i ' and your ' j ' are the same thing.Vector A = j3Vector B = -j1The angle between them is (pi).
No it isn't. Motion means something moving.Direction has to be established for there to be a change in it. An object that moves forward, stops, and then moves forward again experiences motion without a change in direction. An object that moves forward, stops, and then moves to the right experiences both motion and a change in direction.
This is calculated as follows: (2i)2 = 2i x 2i = 4i2 = 4(-1) = -4.
It is 6+2i. But -6-2i will also serve.
1/2i
7 + 2i