Solve with steps Question 4 [10 points) nust Ly be inngh the ponts Qrd.s(-28-) Find a...
Question 7 (10 points] Let Ly be the line passing through the points Q1-(3,-1,-4) and Q2=(5,-3,-2) and let La be the line passing through the point P4-(12,-4, 3) with direction vector a-(-6, -6, -21". Determine whether Ly and L2 intersect. If so, find the point of intersection Q. The lines intersect at the following point Q: Q=(0,0,0)
Let L1 be the line passing through thr points Q1=(-4,-5,-2) and Q2=(0,-7,2). Find a value of k so the line L2 passing through the point P1=(7,-9,k) with direction vector d=[-1,-1,0]^t intersects with L1 K=?? Question 2 [10 points) Let Ly be the line passing through the points Or.-5. 2) and Q-0-72) Find a value of k so the line passing through the point Ps-P;(7.-9. k) with direction vector i/-/-1,-1.0" intersects with L ko
Question 1 (10 points] Let L be the line passing through the point P=(4, -2,5) with direction vector d=[5, 2, 2]', and let T be the plane defined by –2x-3y=z=-5. Find the point Q where L and T intersect. Q=(0,0,0)
Question 4 6-69) Consider the following three points: a-0 b-3and c-1 a) Find the parametric vector equation of the plane which passes through these three [3 marks] b) Find the vector cartesian equation of the plane passing through the three points listed [2 marks] c) Hence, or otherwise, find the non-vector cartesian equation of the plane passing through 3 marks] points above. the points above. Question 4 6-69) Consider the following three points: a-0 b-3and c-1 a) Find the parametric...
Question 12 [10 points] Find an invertible matrix P and a diagonal matrix D such that P-lAP=D. | 9 6 -2 A= -20 -13 4 | -24 -12 3 Tooo oool P= 0 0 0 D = 0 0 0 0 0 0 | 0 0 0 Official Time: 19:51:55 CS Scanned with CamScanner
Let L1 be the line passing through the points Q1=(-5, 1,-4) and Q2=(1,-8,-1) and let L2 be the line passing through the point P1=(-10, 16,-5) with direction vector d=[-1,-1,-1]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q
- PLEASE SHOW ALL STEPS - PLEASE ANSWER ALL PARTS FOR THE QUESTION Find a function r(t) for the line passing through the points P(0,0,0) and Q(3,4,1). Express your answer in terms of i, j, and k. r(t) = 3ti + + k, for
Please solve them find given formula in detail clear ,thank you Q4. (25 points) A long straight wire carries a current of 11 = 12 A is at perpendicular distance d = 15 cm from a point P. The point P is at the center of a semicircle of radius R = 6 cm, and carries a current la = 10 A in the clockwise direction. a) (8 points) Find the magnetic field vector at point P due to the...
Steps too so I can understand it please. QUESTION 13 3.5 points Save Answer Solve the equation 4 A B E QUESTION 14 3.5 points Save Answer Find the slope of the line that passes through the points (-11,13) and (5.-4. A 1 2 3 B-16 C ta 15 D. QUESTION 15 3.5 points Save Answer Simplify as much as possible. Assume all variables represent positive real numbers. A4-V2X B 2xV2X 2x x D. 2x² /2x² E. 4xV2x
Question 19 [10 points] If the determinant of the first matrix below is as given, find the determinant of the other matrix. a b c det r s t 5 x y z 2x 2y 2z a+2x b+2y c+2z Official Time: 22:24:28 SUBMIT AND MARK