The line l, passes through the points A and B which have position vectors 2i – 3j+k and z-3 3i-j respectively. The line , has Cartesian equation 2x y+73 Find %3D (i) the vector equations of 4 and 2, (ii) the acute angle between the two lines, (iii) the position vector of the point of intersection between / and l,. The line l, contains the point B. It also is perpendicular to and intersects l. (iv) Find the coordinates of the point of intersection between , and l. (v) Hence, or otherwise, find the area of the triangle bounded by the three lines. 3. 1 0.5 0. (1) 4 :r = -1+a 2 1:r= +B 1 (ii) 84.9° (iii) (iv) 47 25 7'7 155 (v) - units*] 14

The line l, passes through the points A and B which have position vectors 2i – 3j+k and z-3 3i-j respectively. The line , has Cartesian equation 2x y+73 Find %3D (i) the vector equations of 4 and 2, (ii) the acute angle between the two lines, (iii) the position vector of the point of intersection between / and l,. The line l, contains the point B. It also is perpendicular to and intersects l. (iv) Find the coordinates of the point of intersection between , and l. (v) Hence, or otherwise, find the area of the triangle bounded by the three lines. 3. 1 0.5 0. (1) 4 :r = -1+a 2 1:r= +B 1 (ii) 84.9° (iii) (iv) 47 25 7'7 155 (v) - units*] 14

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter7: Triangles

Section: Chapter Questions

Problem 1RP: We mentioned in Section 7.5 that our algebraic treatment of vectors could be attributed, in part, to...

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