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Answered by
23
Answer:
Given:
The points (1, –1, 2), (3, 4, –2) and (0, 3, 2), (3, 5, 6).
Let us consider AB be the line joining the points, (1, -1, 2) and (3, 4, -2), and CD be the line through the points (0, 3, 2) and (3, 5, 6).
Now,
The direction ratios, a1, b1, c1 of AB are
(3 – 1), (4 – (-1)), (-2 – 2) = 2, 5, -4.
Similarly,
The direction ratios, a2, b2, c2 of CD are
(3 – 0), (5 – 3), (6 – 2) = 3, 2, 4.
Then, AB and CD will be perpendicular to each other, if a1a2 + b1b2 + c1c2 = 0
a1a2 + b1b2 + c1c2 = 2(3) + 5(2) + 4(-4)
= 6 + 10 – 16
= 0
∴ AB and CD are perpendicular to each other.
Explanation:
..Yes..
Answered by
34
Answers :
- Pre-Algebra / Elementary Algebra
- Arithmetic mean (average) = Sum of values / Number of values.
- Probability = Target outcomes / Total outcomes.
- Quadratic Formula: x = −b ± √b²-4ac/2a.
- Distance Formula: d=√(x₁ – x₂)² + (y₁ – y₂)²
- Slope Formula: Slope = y₂ – y₁ / x₂ – x₁
- Slope Intercept: y=mx+b.
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