please answer this question with steps by steps. thank you

7.) Let L:(x,y,z) - (3,2,1)+1(-2,-5,3) (which is the black line), and P:2x-3y +72 = 7 (which is the blue plane) shown. Note that I passes through P at (3,2,1). For this problem, you can use technology to do algebra, just write down what you had it do. a.) Generate the direction vector, v. of the (orange) line that is the projection of the line Lonto P by using multiple cross products. [14pts] b.) Find the angle, 0, between lines L and K, as shown, using the dot product. Round to the nearest hundredth of a degree. [15pts] 7.) Let L:(x,y,z) - (3,2,1)+1(-2,-5,3) (which is the black line), and P:2x-3y +72 = 7 (which is the blue plane) shown. Note that I passes through P at (3,2,1). For this problem, you can use technology to do algebra, just write down what you had it do. a.) Generate the direction vector, v. of the (orange) line that is the projection of the line Lonto P by using multiple cross products. [14pts] b.) Find the angle, 0, between lines L and K, as shown, using the dot product. Round to the nearest hundredth of a degree. [15pts]