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Orthogonality in Space Quest

Froggy Jumps

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Perpendiculars in 3D

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Lebanon

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Orthogonality in Space Quest
 

Froggy Jumps

Orthogonality in Space QuestOnline version

Perpendiculars in 3D

by Maryam Jarrah
1

Which condition shows two vectors are orthogonal in math terms?

2

In 3D, a line orthogonal to a plane is perpendicular to every line in that plane?

3

Are the x-axis and y-axis orthogonal in standard space?

4

What is the relation of a line orthogonal to a plane?

5

If two lines are parallel to the x- and y-axes respectively, are they orthogonal?

6

Give an example of two orthogonal vectors in R3.

7

In a right triangle, sine is the ratio of which two parts?

8

For a right triangle with AB=4, AC=3, BC=5, sin angle ABC equals?

9

Using the cosine law, c^2 = a^2 + b^2 − 2ab cos C. What is cos BÂC if AB=7, AC=6, BC=5?

10

Which statement about a plane is true?

11

In a right isosceles triangle, the hypotenuse is what multiple of the equal legs?

12

Three non-collinear points determine what geometric object?

13

Four vertices of any quadrilateral determine what?

14

A plane has no edges and extends how?

15

Cosine law relation for side c opposite angle C is which form?

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