2- Vectors 𝑨⃗⃗ and 𝑩⃗ are given in rectangular coordinates by 𝐴= 4𝑥̂ + 2𝑦̂ − 𝑧̂ 𝐵⃗ = −2𝑥̂ + 3𝑧̂

Find:

a) The scalar component, or projection, of 𝑩⃗ in the directionof ⃗𝑨⃗ .

b) The vector component of 𝑩⃗ in the direction of 𝑨⃗⃗ .

c) The vector component of 𝑩⃗ perpendicular to ⃗𝑨⃗ .