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jok3333 [9.3K]
3 years ago
7

Given that A = (9,9,2), B = (1,3,5) and C = (5,6,4), find the vector equation of the line through A and B

Mathematics
1 answer:
juin [17]3 years ago
6 0

Answer:

Equation = 9i + 9j + 2k - λ ( 8i + 6j - 3k)

Step-by-step explanation:

Vector equation of a line passing through two points A & B is : r = a + λ(b - a)

Given A = (9,9,2) ; B = (1,3,5)

Equation of line : r = 9i + 9j + 2k + λ [ (1-9) i + (3-9) j + (5-2) k ]

= 9i + 9j + 2k + λ ( -8i + -6j + 3k)

= 9i + 9j + 2k - λ ( 8i + 6j - 3k)

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Answer:

(a) 1.5 inches

(b) 2.5 inches

(c) 5 inches

Step-by-step explanation:

speed of first turtle = 4 1/2 inches per  minute = 9/2 inches per minute

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distance = speed x time

(a) Distance traveled by first turtle in 3 minutes

s = 9/2 x 3 = 13.5 inches

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So, the gap is

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(b) Distance traveled by first turtle in 5 minutes

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(c) Distance traveled by first turtle in 10 minutes

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6 0
3 years ago
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IgorLugansk [536]

Answer:

Sample is biased

Step-by-step explanation:

In her experiment, Gloria assumes that the reading habits of the students in her school district are exactly the same to that of students in all state schools. This assumption is unlikely to be true and, therefore, this statistic is misleading because the sample used is biased.

From her data, all Gloria can do is report the percentage of students that read more than one book per month in her school district.

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Step-by-step explanation:

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there are 20 different combinations if that was the question.

Step-by-step explanation:

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