Use vectors u, v and w given below to find each expression.
(1) v times w
(2) v times u
u,v, w are not given.
Times? What is times? Do you mean the cross product?
Your use of the word times indicates to me that you need to urgently review what dot product and cross product mean. There is no vector operation "times".
I will review my textbook and get back to you tomorrow.
Bob,
Here is the entire question:
Use vectors u, v and w given below to find each expression.
(1) v X w
(2) v X u
(3) (u X v) X w
u = 2i - 3j + k
v = -3i + 3j + 2k
w = 1 + j + 3k
To find the product of two vectors, you can use the dot product. In the dot product, you multiply the corresponding components of the two vectors and then add them up. So let's find the expressions you asked for.
Given vectors:
u = <u1, u2, u3>
v = <v1, v2, v3>
w = <w1, w2, w3>
(1) v times w:
To find the product of v and w, we need to perform the dot product. The dot product of v and w is calculated as follows:
v times w = (v1 * w1) + (v2 * w2) + (v3 * w3)
You simply multiply the components of v and w and then add them up. So the expression for v times w is:
v times w = (v1 * w1) + (v2 * w2) + (v3 * w3)
(2) v times u:
Similar to the previous case, we need to perform the dot product to find the product of v and u. The dot product of v and u is calculated as follows:
v times u = (v1 * u1) + (v2 * u2) + (v3 * u3)
Multiply the corresponding components of v and u, and then add them up. So the expression for v times u is:
v times u = (v1 * u1) + (v2 * u2) + (v3 * u3)
These are the expressions to calculate the products of the given vectors.