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Q: What is the direction of vector a 2i - 5j relative to x axis?
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A vector is a quanitity with magnitude and?

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.


The angle that the vector A equals 2i plus 3j makes with y-axis?

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.


It is possible for a vector to be zero if a component of the vector is not zero?

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".


Is direction the course in which an object is moving?

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.


Calculate the Unit vector for 2i-3j?

5


How does one graph complex numbers?

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.


Vector A plus vector B equals 2i and vectorA-vectorB equals 4j then angle between vectorA and vectorB is?

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).


What is 2i squared?

This is calculated as follows: (2i)2 = 2i x 2i = 4i2 = 4(-1) = -4.


When two or more vectors have different directions combine them by?

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.


What is the conjagate of 6-2i?

It is 6+2i. But -6-2i will also serve.


What is the reciprocal of 2i?

1/2i


What is the conjugate of 7 - 2i?

7 + 2i