Find the cross product a × b.a = 8, 0, −3, b = 0, 8, 0
Question
Find the cross product a × b.a = 8, 0, −3, b = 0, 8, 0
Solution
To find the cross product of two vectors, a and b, we can use the following formula:
a × b = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1)
Given that a = 8, 0, -3 and b = 0, 8, 0, we can substitute these values into the formula:
a × b = (0 * 0 - (-3) * 8, (-3) * 0 - 8 * 0, 8 * 8 - 0 * 0)
Simplifying the equation, we get:
a × b = (24, 0, 64)
Therefore, the cross product of a and b is 24, 0, 64.
Similar Questions
Find the cross product a × b.a = 8, 0, −3, b = 0, 8, 0⟨24,0,64⟩ Verify that it is orthogonal to both a and b.
Calculate the cross product a×b𝑎×𝑏 where a=[−3,−3,1]𝑎=[−3,−3,1] and b=[−2,1,0]𝑏=[−2,1,0].
Find the cross product of A and B if A = 2i – 3j + 2k and B = i – 3kGroup of answer choices9i + 8j + 3ki – 3k8i + 3j + 9k9i + 3j + 8k
Find the dot product of the two vectors given below.A = <1,-2,3>B = <-4,5-6>
Given the vectors u = (1, 3, 0) and v = (0, 1, -1), which of the following is the cross product of u with v? Group of answer choices (-3, 1, 2) (-3, 1, 1) (2, 2, 2) 3
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.