Figure shows four vectors A⃗ , B⃗⃗ , C⃗ , and D⃗⃗ with magnitude A = 5, B = 7, C = 9 and D = 11. Find out the angle between the
vectors A⃗ × B⃗⃗ and C⃗ × 2 D⃗⃗

The speed of light can be used to measure the

At 20∘c, the hole in an aluminum ring is 2.800 cm in diameter. you need to slip this ring over a steel shaft that has a room-temperature diameter of 2.804 cm . 1. to what common temperature should the ring and the shaft be heated so that the ring will just fit onto the shaft? coefficients of linear thermal expansion of steel and aluminum are 12×10−6 k−1 and23×10−6 k−1 respectively.

Two pans of a balance are 24.1 cm apart. the fulcrum of the balance has been shifted 1.33 cm away from the center by a dishonest shopkeeper. by what percentage is the true weight of the goods being marked up by the shopkeeper? assume the balance has negligible mass. answer in units of %.