Hi, I am having a lot of difficulty understanding vectors, can you please assist me with these questions.

Given: position vector A = i hat.
position vector B = i hat + j hat + k hat.

1) Find A hat and B hat (unit vector in that direction).

2) Find position vector C in that plane perpendicular to position vector A.

3) Find position vector D in that plane perpendicular to position vector B.

4) Say position vector Q = position. vector A cross position vector B. Take Q across A such that is orthogonal to that plane.

5) If a vector is vector is orthogonal to A what does that mean?

6) Find C hat and D hat which are normalized vectors. What is a normalized vector?

7) Show by taking B across C, that the vector is now along Q.

8) If you take B across C you get a row vector E = B cross C, show that.

Solution Summary

This solution provides a step by step response for each vector problem asked, which clearly demonstrates how to approach these sorts of questions. In order to view the solution, a Word document file needs to be opened.

... 2. Find the orthogonal projection of the vector u = (-2 ... the dimension of the space spanned by these vectors? 4. Find the least squares solution to the equation ...

Vectors and Velocity Problem. ... E_0 z(^), and a magnetic field intensity is given by (vector)B = B_0 ... Write out and solve the equations for x, y, z as functions of ...

...Problem: Find the unit tangent and normal vectors at the indicated point. ... Solution: The implicit function is given as: The unit tangent vector is given as: ...

... This is why the solution is y=2. Mathematics, Algebra Other Matlab PolyFit / Least Squares Error Fit. Given a vector X = [ 3, 4, 6 ] and a vector y = [ 2, 3, 1 ...

... solutions and use these solutions to solve other similar ... complete description of the problems, please see the problems. ... W of R4 generated by the vectors (1,4 ...

... Absolute error in density value = 1608.70 x 10.29/100 ... of -8.70 cm and 15.0 cm, respectively; vector has x ... Solution: Vectors can be expressed in terms of unit ...

... why we use them and how they help in solving the physics of these types of problems, is my ... B) and (B as the source of A) 10) The vector potential and ...