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Soalan / Question 3 Garisan m mempunyai persamaan r = i+ 3j – 2k + µ(i – 2j + 3k). Manakala, satah n pula mempunyai persamaan 2x + y – 3z = 5. The line m has equation r = i + 3j – 2k + µ(i – 2j + 3k). Meanwhile, the planen has equation 2x + y – 3z = 5. a) Cari kedudukan vektor bagi titik persilangan antara m dan n. Find the position vectors of the point of intersection m and n. b) Kira sudut tirus antara m dan n. Calculate the acute angle between m and n. c) Satah yang kedua, iaitu q adalah bersudut tegak dengan satah n dan mempunyai garisan m. Cari persamaan satah q, berikan jawapan dalam bentuk ax + by + cz = d. A second plane q is perpendicular to the plane n and contains the line m. Find the equation of a plane q, giving your answer in the form ax + by + cz = d.

Soalan / Question 3 Garisan m mempunyai persamaan r = i+ 3j – 2k + µ(i – 2j + 3k). Manakala, satah n pula mempunyai persamaan 2x + y – 3z = 5. The line m has equation r = i + 3j – 2k + µ(i – 2j + 3k). Meanwhile, the planen has equation 2x + y – 3z = 5. a) Cari kedudukan vektor bagi titik persilangan antara m dan n. Find the position vectors of the point of intersection m and n. b) Kira sudut tirus antara m dan n. Calculate the acute angle between m and n. c) Satah yang kedua, iaitu q adalah bersudut tegak dengan satah n dan mempunyai garisan m. Cari persamaan satah q, berikan jawapan dalam bentuk ax + by + cz = d. A second plane q is perpendicular to the plane n and contains the line m. Find the equation of a plane q, giving your answer in the form ax + by + cz = d.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Soalan / Question 3 Garisan m mempunyai persamaan r = i+ 3j – 2k + µ(i – 2j + 3k). Manakala, satah n pula mempunyai persamaan 2x + y – 3z = 5. The line m has equation r = i + 3j – 2k + µ(i – 2j + 3k). Meanwhile, the planen has equation 2x + y – 3z = 5. a) Cari kedudukan vektor bagi titik persilangan antara m dan n. Find the position vectors of the point of intersection m and n. b) Kira sudut tirus antara m dan n. Calculate the acute angle between m and n. c) Satah yang kedua, iaitu q adalah bersudut tegak dengan satahn dan mempunyai garisan m. Cari persamaan satah q, berikan jawapan dalam bentuk ax + by + cz = d. A second plane q is perpendicular to the plane n and contains the line m. Find the equation of a plane q, giving your answer in the form ax + by + cz = d.
Transcribed Image Text:Soalan / Question 3 Garisan m mempunyai persamaan r = i+ 3j – 2k + µ(i – 2j + 3k). Manakala, satah n pula mempunyai persamaan 2x + y – 3z = 5. The line m has equation r = i + 3j – 2k + µ(i – 2j + 3k). Meanwhile, the planen has equation 2x + y – 3z = 5. a) Cari kedudukan vektor bagi titik persilangan antara m dan n. Find the position vectors of the point of intersection m and n. b) Kira sudut tirus antara m dan n. Calculate the acute angle between m and n. c) Satah yang kedua, iaitu q adalah bersudut tegak dengan satahn dan mempunyai garisan m. Cari persamaan satah q, berikan jawapan dalam bentuk ax + by + cz = d. A second plane q is perpendicular to the plane n and contains the line m. Find the equation of a plane q, giving your answer in the form ax + by + cz = d.
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