Given two vectors a⃗ =−2.00i^+3.00j^+4.00k^ and b⃗ =3.00i^+1.00j^−3.00k^. obtain a unit vector perpendicular to these two vectors. express your answer as a unit vector n^ in the form nx, ny, nz where the x, y, and z components are separated by commas.

Pamela has a 30-year, 5.75% mortgage on her $250,000 home. she has been paying on it for 5 years, and has recently hit some financial trouble. if her lender agreed to lower the interest rate on her $231,905.47 balance to 5.5%, what will her new payment be for the remainder of the loan?