# Introduction to Vectors

### Topic Page

Introduction to Vectors### Questions

- Why is a vector product perpendicular?
- How can I draw velocity vector diagrams?
- Why are vectors important in physics?
- What is the study of motion forces and energy?
- What is the study of human motion?
- How can I construct vector diagrams?
- How should all vector diagrams be drawn?
- How does a vector quantity differ from a scalar quantity?
- How do you calculate the magnitude of vectors?
- How do vectors work in physics?
- How do vectors apply in real life?
- How are vector diagrams used?
- What are some examples of vector diagrams?
- What are some examples of the study of motion?
- Question #2970f
- How do I find the linear and angular speed of an object?
- A dart is thrown horizontally with an initial speed of 18 m/s toward point P, the bull's-eye on a dart board. It hits at point Q on the rim, vertically below P, 0.19 s later. (a) What is the distance PQ? (b) How far away from the dart board ?
- A small ball rolls horizontally off the edge of a tabletop that is 1.23 m high. It strikes the floor at a point 1.49 m horizontally away from the edge of the table. (a) How long is the ball in the air? (b) What is its speed at the instant it leaves ?
- What is the magnitude of the centripetal acceleration of an object on Earth's equator owing to the rotation of Earth?
- What would the period of rotation of Earth have to be for objects on the equator to have a centripetal acceleration with a magnitude of #9.80# #ms^-2#?
- Will a vector at 45° be larger or smaller than its horizontal and vertical components?
- If the magnitude of #v# is 10, and the direction vector is 60°, what is the x component of #v#?
- Question #b4b92
- Question #a1bdc
- How do you normalize # (2i -3j + 4k)#?
- What is the dot product of # (2i -3j + 4k)# and #(i + j -7k)#?
- What is the cross product of #(2i -3j + 4k)# and #(i + j -7k)#?
- What is the cross product of #(-300i + 200j - 150k)# and #(i + j -7k)#?
- How do you normalize # (-300i + 200j - 150k)#?
- What is the dot product of # (-300i + 200j - 150k)# and #(i + j -7k)#?
- What is the cross product of #(- 4 i - 5 j + 2)# and #(i + j -7k)#?
- What is the dot product of # (- 4 i - 5 j + 2)# and #(i + j -7k)#?
- What is the dot product of # (2i -3j + 4k)# and #(- 4 i - 5 j + 2)#?
- How do you normalize # (- 4 i - 5 j + 2k)#?
- What is the cross product of #(4 i + 4 j + 2 k)# and #(i + j -7k)#?
- What is the cross product of #(2i -3j + 4k)# and #(4 i + 4 j + 2 k)#?
- What is the projection of # (4 i + 4 j + 2 k)# onto #(i + j -7k)#?
- How do you normalize # (4 i + 4 j + 2 k)#?
- What is the cross product of #(2i -3j + 4k)# and #(- 5 i + 4 j - 5 k)#?
- What is the cross product of #(- 5 i + 4 j - 5 k)# and #(i + j -7k)#?
- What is the projection of # (2i -3j + 4k)# onto #(- 5 i + 4 j - 5 k)#?
- What is the cross product of #(- 5 i + 4 j - 5 k)# and #(- 4 i - 5 j + 2 k)#?
- What is the cross product of #(- 5 i + 4 j - 5 k)# and #(4 i + 4 j + 2 k)#?
- What is the cross product of #(4 i + 4 j + 2 k)# and #(- 4 i - 5 j + 2 k)#?
- What is the projection of # (4 i + 4 j + 2 k)# onto #(- 5 i + 4 j - 5 k)#?
- How do you normalize # (-5i + 12j+ 2 k)#?
- What is the projection of # (-9 i + j + 2 k)# onto #(-5i + 12j- 5 k)#?
- What is the cross product of #(4 i + 4 j + 2 k)# and #(-5i + 12j + 2 k)#?
- What is the cross product of #(14i - 7j - 7k)# and #(-5i + 12j + 2 k)#?
- What is the projection of # (-9 i + j + 2 k)# onto #(14i - 7j - 7k)#?
- What is the cross product of #<2,3,1># and #<3,1,5>#?
- How do you normalize # <3,1,5>#?
- How do you normalize # <2,3,1>#?
- What is the projection of # <3,1,5># onto #<2,3,1>#?
- How do you normalize #<-1,-1,2>#?
- How do you normalize #<-3,0,1>#?
- What is the cross product of #<-3,0,1># and #<1,2,-4>#?
- What is the cross product of #<1,2,-4># and #<-1,-1,2>#?
- What is the cross product of #<-3,0,1># and #<0,8,5>#?
- What is the cross product of #<0,8,5># and #<-1,-1,2>#?
- What is the cross product of #<3,-6,4># and #<-1,-1,2>#?
- What is the cross product of #<-3,0,1># and #<3,-6,4>#?
- How do you normalize # <3,-6,4>#?
- How do you normalize # <0,8,5>#?
- What is the projection of # <-3,0,1># onto #<1,2,-4>#?
- What is the projection of # <0,8,5># onto #<1,2,-4>#?
- What is the projection of # <3,-6,4># onto #<1,2,-4>#?
- How do you normalize # (-4i + 0j + 3k)#?
- How do you normalize # (-2i + -1j + 2k)#?
- What is the projection of # (-4i + 3k)# onto #(-2i -j + 2k)#?
- Question #03abb
- A ball rolls with a speed of #2.0m/s# across a level table that is #1.0m# above the floor. Upon reaching the edge of the table, it follows a parabolic path to the floor. How far along the floor is the landing spot from the table?
- Question #98b39
- Question #c1d9f
- Question #52b79
- Question #b08c9
- Question #3419a
- Question #8eea9
- Question #3597d
- Question #b5ee5
- Question #27b73
- Question #087f1
- Question #afdb4
- Question #b0a53
- Question #60f5e
- Question #9451d
- What is the difference between a scalar, a vector, and a unit vector? Can we take the product of two vectors?
- Question #2cd38
- Question #7ad24
- Question #5e6e4
- Question #b35f7
- Question #f51ef
- If IA+BI = IA-BI, find the angle between the vector A and B and show that the two vectos are perpendicular to each other. How to answer this question?
- Question #f01d3
- Question #ad6b0
- Question #a648f