{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Disc11

# Disc11 - Math 178 Kouba Discussion Sheet 11 1 Find an...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 178 Kouba Discussion Sheet 11 1.) Find an equation in parametric fOrm of the line a.) in R2 passing through the point (2, —1) and parallel to the vector < . b.) in R2 passing through the point (3, 2) and perpendicular to the vector . c.) in R2 passing through the points (4, 0) and (—1, 3) . 3 d.) in R3 passing through the point (0,2, 1) and parallel to the vector —1 2 e.) in R3 passing through the points (1, 2, 3) and (4, 5, 6) . 2.) Determine an equation for the plane passing through the point (—1, 0,4) and which is 2 perpendicular to the vector 1 —3 3.) Determine a point on the plane :c + 231 + 32 = 12 and a vector which is perpendicular to it. 4.) Determine an equation of the plane which is parallel to the plane 3:5 —— 2y + z z 0 and which passes through the point (1, ——1,0). 5.) Determine an equation of the plane which passes through the point (1, —1,0) and m=3+ﬁ which is perpendicular to the line given parametrically by L : { y = ——1 — t . z = 2 + t 6.) Determine an equation of the line in parametric form which passes through the point (2, —3, 1) and which is perpendicular to the plane 3m — y + z = 5 . 7.) Find three points which lie on both of the planes :r — y + z = 1 and 2x + y — z = 3. 8.) Determine an equation Of the line in parametric form which represents the intersection oftheplanesm—y+z=2and 3m+y—4z=1. 9.) Determine the point of intersection of the plane In — y + 22 = 4 and the line given a: = t parametrically by L z { y ; 1 — t . z = 1 + 2t 10.) The following lines intersect. Determine their point of intersection : :1: = 1 + t a} = S L:{y=2t and .M:{y=2+s z = —1 + t z = —2 + s l 3 12.) Determine the angle 9 between the vector 2 1 11.) Determine the angle 0 between the vectors (—4 and -—2 0 3 2 and the line given parametrically by 1 12:32? L:{y=1+t z=1—2t 13.) Determine the angle 0 between the planes 2 2 2:1: — y and :1: + 2y + 32 = 6. 14.) Find the point of intersection of the plane 310 - 2y + z = 24 and the line passing through the point (2, —1, 3) which meets the plane orthogonally. “ ..., because this is America.”— Kouba ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Disc11 - Math 178 Kouba Discussion Sheet 11 1 Find an...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online