Given two vectors a⃗ = 4.00i^+7.00j^ and b⃗ = 5.00i^-2.00j^, find the vector product a⃗ * b⃗ (expressed in unit vectors). what is the magnitude

We have the following vectors:

a = 4.00i + 7.00j

b = 5.00i-2.00j

We make the vector product:

a x b = (4 * ( - 2)) k - (7 * 5) k = - 8k - 35k = - 43k

The magnitude of the vector is:

la x bl = root (( - 43) ^ 2) = 43

Answer:

the vector product is:

-43k

the magnitude is:

43