Question

Given \[\vec r\] = 4î + 6ĵ - 3k̂ and \[\vec p\] = 2î + 4ĵ - 5k̂, what is the i-component of \[\vec L\] = \[\vec r\] × \[\vec p\]?

Options

• -18

• 14

• 4

• 18

Answer 1

-18

Explanation:

Using the formula for the i-component: (r_y × p_z) − (r_z × p_y) = (6 × (−5)) − ((−3) × 4) = −30 + 12 = −18.