Physics summer assignment vector multiplication

AI Thread Summary
To solve for the magnetic field vector (Vector B) in unit-vector notation, given the equation (Vector F) = q(Vector v) X (Vector B) with specified values, the user has derived an equation involving components of (Vector B). The relationship indicates that Bx equals By, simplifying the problem. The user is struggling to progress from the derived equation to isolate and determine the components of (Vector B). Assistance is requested as the assignment is due soon. The focus is on applying vector cross product principles to find the solution.
grosenblatt
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Homework Statement



In the product (Vector F) = q(Vector v) X (Vector B), take q = 2,
(Vector v) = 2.0i + 4.0j + 6.0k
(Vector F) = 4.0i - 20j + 12k

What than is (Vector B) in unit-vector notation if Bx = By

Homework Equations



dot and cross products

The Attempt at a Solution



4.0i - 20j + 12k = (8ybz - 12zby)i + (12zbx - 4xbz)j + (4xby - 8ybx)k
 
Last edited:
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can anyone help? this is due tommorow =(. i really just don't know where to go from here at all
 

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