Given the vectors r = 3i + 4j − 5k and s = −2J − K, where the xyz coordinate frame is obtained by rotating XY Z by 30◦ about the Z axis, obtain the cross product r×s using column vector notation and...

Given the vectors r = 3i + 4j − 5k and s = −2J − K, where the xyz coordinate frame is obtained by rotating XY Z by 30◦ about the Z axis, obtain the cross product r×s using column vector notation and express the final result using the xyz coordinates