A · B = (1)(4) + (2)(5) + (3)(6) = 4 + 10 + 18 = 32.

A · B = (1)(4) + (2)(5) + (3)(6) = 4 + 10 + 18 = 32.

Scalar projection = (H · I) / |I| = (6*3 + 8*4) / √(3^2 + 4^2) = (18 + 32) / 5 = 50 / 5 = 10.

Scalar triple product = A · (B × C) = |i  j  k| |1  1  1| |2  3  1| |3  1  2| = 0.

Unit vector = A / |A| = (4i + 3j) / √(4^2 + 3^2) = (4i + 3j) / 5 = (4/5)i + (3/5)j.

A vector is orthogonal if A · B = 0. For B = 3i - 2j, A · B = 6 - 6 = 0.