On a separate page, draw the domain of each integral and give the set up for the

Question

On a separate page, draw the domain of each integral and give the set up for the integrals asked. For double integrals, also set up the other iterated integral. You are required to calculate completely two integrals : one double and one triple integral of your choice to demonstrate you know how to perform these types of calculations. . (I pt) Determine whether the vectors AB and PO are equivalent. Assume that u, v = 10, llall = 9, and llr-2. What is the value of 4 (6- Iv)? A=(4,-2). B=(1.3), Ps(3.0). Q=(0,5) 10. (1 pt) 17 Let a = (5.2-1) and b = (5.3.2), then find the decomposition a a +a, of a with respect tob Are AB and PO parallel, and if so, do they point in the same direction? 11. (1 pt) (i-sj-7k) × (-j+k)=-- B (6,-4), P= (0,-4). Q= | A= (4,-2), (8, -12) = 12.(1 pt) Let a (-3,-1, 2) and b = (20.2). There is atleast one unit vector which is orthogonal to both a and b. Enter one exarnple in the following answer box 12 unit vector, orthogonal to a and b 3. (1 pt) Let R = (-2,2). Find the point P such that FR has compo- 13. (Ipti Vectors u = (2.4.0) and v-(-1.-3.3) span a parallelogram whose area is · nents (-3,-3) square units 4. (1 pt) Calculate the linear combination: 1 (2.-5.0) + 2( 14. (1 pt The plane with normal vector n = j-k and passing through point P 1.3.3)s (9.-2,-5) has scalar equation 5. (1 pt) The line through P = (-10.2-8) and Q = (11.11.-6) has vector parametrization - 15.(1pt) The line r(r)s -9-7, 7) +r(6.4.-8) intersects the plane with equation-2x+y+2=-4 at the point 16. (I pt) Find the intersection of the line and plane 6. (I pt) Find parametric equations for the line through P (-7,8,-10) and parallelto the line through Q-(-12.22-1) and R- -17,1,-24) | -(4x+5+z) = 20, r(,) =-20.0+,(-1,0.0) x(t) = 17. (1 pt 7. (I pt) v (2,7,10) w (5,8,9) Find the cosine of the angle between v and w cose- Does either of P= (8. 51, 2401) or Q= (-4, 27, 625) lie on the path .A. P lies on r 8. (I pt) B. P does not lie on r a) If the vectors (w,-2,9) and (10.w,4) are orthogonal, then b) If the vectors (6,4,-10) and (.t,0) are orthogonal, then . A lies on r B.Q does not lie onr

Explanation / Answer

You have asked 48 questions. This is not the correct way to post questions.

I am solving maximum 4 questions from 1

According to chegg rule

1) AB = (-3 ,5)

PQ = (-3,5)

Hance both are equivalent

2)AB= (2,-2)

PQ= (8,-8)

Yes they are parallel and point in same direction

3)PR = (-3, -3)

P= ( 1,5)

4) 1(2,-5,0)+2(-1,3,3) = (0,1,6)

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