(a) (i) (b) (ii) The coordinates of the points A and B are (3, -2, 4) and (6, 0, 3) respectively. 3 []+ The line has equation r Find the vector AB. Calculate the acute angle between AB and the line 1₁, giving your answer to the nearest 0.1°. The point D lies on ₁ where =2. The line 12 passes through D and is parallel to AB. 2 (i) Find a vector equation of line 12 with parameter μ. (ii) The diagram shows a symmetrical trapezium ABCD, with angle DAB equal to angle ABC. A line 1₁ D C line 1₂ B The point C lies on line 12. The length of AD is equal to the length of BC. Find the coordinates of C.
(a) (i) (b) (ii) The coordinates of the points A and B are (3, -2, 4) and (6, 0, 3) respectively. 3 []+ The line has equation r Find the vector AB. Calculate the acute angle between AB and the line 1₁, giving your answer to the nearest 0.1°. The point D lies on ₁ where =2. The line 12 passes through D and is parallel to AB. 2 (i) Find a vector equation of line 12 with parameter μ. (ii) The diagram shows a symmetrical trapezium ABCD, with angle DAB equal to angle ABC. A line 1₁ D C line 1₂ B The point C lies on line 12. The length of AD is equal to the length of BC. Find the coordinates of C.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question

Transcribed Image Text:(a) (i)
(ii)
(b)
The coordinates of the points A and B are (3, -2, 4) and (6, 0, 3) respectively.
3
-0-0
4
The line has equation r = -2 +
Find the vector AB.
Calculate the acute angle between AB and the line 1₁, giving your answer to the
nearest 0.1°.
The point D lies on / where λ = 2. The line 12 passes through D and is parallel
to AB.
(i) Find a vector equation of line 12 with parameter μ.
(ii)
The diagram shows a symmetrical trapezium ABCD, with angle DAB equal to
angle ABC.
A
line 1₁
D
C line 1₂
B
The point C lies on line 12. The length of AD is equal to the length of BC.
Find the coordinates of C.
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