If C⃗ = -5 i^ - 3 j^ - 4 k^, what is C⃗ × j^?
If = -5 - 3 - 4 , what is × ?
To find the cross product of two vectors, we use the following formula:
C⃗ × D⃗ = (CyDz - CzDy)i^ - (CxDz - CzDx)j^ + (CxDy - CyDx)k^
In this case, we are given that C⃗ = -5 i^ - 3 j^ - 4 k^ and we need to find C⃗ × j^.
To calculate the cross product, we substitute the values into the formula:
C⃗ × j^ = (-3 * 0 - (-4) * 1)i^ - (-5 * 0 - (-4) * 1)j^ + (-5 * 1 - (-3) * 0)k^
= (0 + 4)i^ - (0 + 4)j^ + (-5 - 0)k^
= 4i^ - 4j^ - 5k^
Thus, C⃗ × j^ = 4i^ - 4j^ - 5k^.