# The Dot Product

### Topic Page

The Dot Product### Questions

- What is the dot product of two vectors?
- What is the cross product of two vectors?
- How do I find a vector cross product on a TI-84?
- How do I find a vector cross product on a TI-89?
- How do I find the cross product of #<-13, 4># and #<-56, 0>#?
- How do I find the dot product of #<2, 3># and #<4, −7>#?
- How do I find the dot product of vectors #v =2i-3j# and #w= i-j#?
- How do I find the dot product of vectors #v =5i-2j# and #w=3i+4j#?
- How can vector dot products be used to prove the law of cosines?
- Consider the following vectors: v = 3i + 4j, w = 4i + 3j, how do you find the dot product v·w?
- Consider the following vectors: v = 4i, w = j, how do you find the dot product v·w?
- How do you compute the dot product for #<1,2>*<3,4>#?
- How do you compute the dot product for #<1,2, 3>*<4, -5, 6>#?
- How do you compute the dot product for #6j*4k#?
- How do you compute the dot product for #i*(j+k)#?
- How do you compute the dot product for #<4, 5>*<2, 3>#?
- How do you compute the dot product for #<2, -1>*<1, 2>#?
- How do you compute the dot product for #<0, 3>*<4, -2>#?
- How do you compute the dot product for #<6, 1>*<-2, 3>#?
- How do you compute the dot product for #<5, 12>*<-3, 2>#?
- How do you compute the dot product for #<-4, 1>*<2, -3>#?
- How do you compute the dot product for #<-2, 5>*<-1, -2>#?
- How do you compute the dot product for #u=4i-2j# and #v=i-j#?
- How do you compute the dot product for #u=3i+4j# and #v=7i-2j#?
- How do you compute the dot product for #u=3i+2j# and #v=-2i-3j#?
- How do you compute the dot product for #u=i-2j# and #v=-2i+j#?
- How do you compute the dot product to find the magnitude of #u=<-5,12>#?
- How do you compute the dot product to find the magnitude of #u=<2, -4>#?
- How do you compute the dot product to find the magnitude of #u=20i+25j#?
- How do you compute the dot product to find the magnitude of #u=12i-16j#?
- How do you compute the dot product to find the magnitude of #u=6j#?
- How do you compute the dot product to find the magnitude of #u=-21i#?
- Given the vectors #u=<2,2>#, #v=<-3,4>#, and #w=<1,-2>#, how do you find #u*u#?
- Given the vectors #u=<2,2>#, #v=<-3,4>#, and #w=<1,-2>#, how do you find #3u*v#?
- Given the vectors #u=<2,2>#, #v=<-3,4>#, and #w=<1,-2>#, how do you find #(v*u)w#?
- Given the vectors #u=<<2,2>>#, #v=<<-3,4>>#, and #w=<<1,-2>>#, how do you find #(3w*v)u#?
- Given the vectors #u=<2,2>#, #v=<-3,4>#, and #w=<1,-2>#, how do you find #(u*2v)w#?
- Given the vectors #u=<2,2>#, #v=<-3,4>#, and #w=<1,-2>#, how do you find #||w||-1#?
- Given the vectors #u=<2,2>#, #v=<-3,4>#, and #w=<1,-2>#, how do you find #2-||u||#?
- Given the vectors #u=<2,2>#, #v=<-3,4>#, and #w=<1,-2>#, how do you find #(u*v)-(u*w)#?
- Given the vectors #u=<2,2>#, #v=<-3,4>#, and #w=<1,-2>#, how do you find #(v*u)-(w*v)#?
- How do you find the inner product and state whether the vectors are perpendicular given #<4,8>*<6,-3>#?
- How do you find the inner product and state whether the vectors are perpendicular given #<3,5>*<4,-2>#?
- How do you find the inner product and state whether the vectors are perpendicular given #<5,-1>*<-3,6>#?
- How do you find the inner product and state whether the vectors are perpendicular given #<7,2>*<0,-2>#?
- How do you find the inner product and state whether the vectors are perpendicular given #<8,4>*<2,4>#?
- How do you find the inner product and state whether the vectors are perpendicular given #<4,9,-3>*<-6, 7,5>#?
- How do you find the inner product and state whether the vectors are perpendicular given #<3,1,4>*<2,8,-2>#?
- How do you find the inner product and state whether the vectors are perpendicular given #<-2,4,8>*<16,4,2>#?
- How do you find the inner product and state whether the vectors are perpendicular given #<7,-2,4>*<3,8,1>#?
- How do you find the cross product and verify that the resulting vectors are perpendicular to the given vectors #<5,2,3>times<-2,5,0>#?
- How do you find the cross product and verify that the resulting vectors are perpendicular to the given vectors #<3,2,0>times<1,4,0>#?
- How do you find the cross product and verify that the resulting vectors are perpendicular to the given vectors #<1,-3,2>times<5,1,-2>#?
- How do you find the cross product and verify that the resulting vectors are perpendicular to the given vectors #<-3,-1,2>times<4,-4,0>#?
- How do you find the cross product and verify that the resulting vectors are perpendicular to the given vectors #<4,0,=2>times<-7,1,0>#?
- How do you find the vector perpendicular to the plane containing (0,-2,2), (1,2,-3), and (4,0,-1)?
- How do you find the vector perpendicular to the plane containing (-2,1,0), (-3,0,0), and (5,2,0)?
- How do you find a vector perpendicular to the plane containing (0,0,1), (1,0,1) and (-1,-1,-1)?
- What is the dot product of 5i and 8j?
- Two vectors u and v are given #u=5i-9j-9k, v=4/5i+4/3j-k#, how do you find their dot product?
- Question #0970c
- If both If #bb(ulhata)# and #bb(ulhat b)# are unit vectors and # || bb(ul hata)-bb(ul hatb) || = sqrt(3) # show that # || bb(ul hata) + bb(ul hatb) || = 1#?
- What is the dot product of # bbvec v = << 4,2 >># and # bbvec w =<< 1,-3 >>#?
- Show that the dot product of any two unit vectors is the sum of the product of the components?