Final answer:
The cross product of vectors a and b is 35, -14, -5.
Step-by-step explanation:
To find the cross product a ⨯ b where a = 2, 5, 0 and b = 1, 0, 7, we can use the formula Č = (Ay B₂ – Az By)î + (Az Bx − Ax Bz)ĵ + (Ax By – AyBx) Ỏ.
Plugging in the values, we get the cross product Č = (5 * 7 - 0 * 0)î + (0 * 1 - 2 * 7)ĵ + (2 * 0 - 5 * 1) Ỏ.
Simplifying, we have Č = 35î - 14ĵ -5Ỏ. Therefore, the cross product of a and b is 35, -14, -5.