Vectors in Space
Topic Page
Vectors in SpaceQuestions
- How do vectors represent a point in space?
- How do I know if two vectors are equal?
- What is the magnitude of vector #AB# if #A= (4,2,-6)# and #B=(9,-1,3)#?
- What is #||v||# if #v = < 3,1,-2 >#?
- How do I find the unit vector for #v = < 2,-5,6 >#?
- How do I find the dot product of two three-dimensional vectors?
- How do I find the angle between two vectors in three-dimensional space?
- What does it mean if two vectors are orthogonal to each other?
- What are the standard three-dimensional unit vectors?
- How could I determine whether vectors #P< -2,7,4 >, Q< -4,8,1 >#, and #R< 0,6,7 ># are all in the same plane?
- How do you find the equation of the plane in xyz-space through the point #p=(4, 5, 4)# and perpendicular to the vector #n=(-5, -3, -4)#?
- If # bb(ul(A)) = A_1 bb(ul(hat i)) + A_2 bb(ul(hat j)) + A_3 bb(ul(hat k)) # does # abs(bb(ul(A))) = A_1 + A_2 + A_3 #?
- A regular tetrahedron has vertices #A, B, C# and #D# with co-ordinates #(0,0,0,), (0,1,1), (1,1,0), "and" (1,0,1)# respectively. Show the angle between any two faces of the tetrahedron is #arccos(1/3)#?
- Find a Cartesian Equation of the plane with contains the line #(x-2)/3=(y+4)/2=(z-1)/2# and passes through the point #(1,1,1)#?
- How to find the vector unit normal?
- It is a vector question?
- Vectors question?