In Problems 39 and 40, show that the given lines intersect and find the acute angle between r = 2 j + k + ( 3 i − k ) t 1 and r = 7 i + 2 k + ( 2 i − j + k ) t 2 .
In Problems 39 and 40, show that the given lines intersect and find the acute angle between r = 2 j + k + ( 3 i − k ) t 1 and r = 7 i + 2 k + ( 2 i − j + k ) t 2 .
2. Which of the following equations correctly represents the distance between points (1, -1) and (-2, 2)?
Od = V(1+2)2 +(-1–2)?
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O d = V(1-2)2 +(-1+2)²
O d = V(1+2) +(-1–2)
Od = V(1- 2)2 + (2 – 1)²
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3. Verify that the two lines are parallel to each other where the
direction cosines of the two lines are proportional to 6,3,–1
and –2,4,0 respectively.
If the rst line has the form Ax + By + C = 0 and the second line has the form Dx + Ey + F = 0 and if therst line is to pass through the origin and the second is to be parallel to the rst, what relationships mustexist among among A; B; C; D; E and F ?
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
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