source : yahoo.com
Please help with this vectors problem?
A = -3i + 6j
Means that the terminal side of A passes through the point (-3, 6) which is 3 units to the left of y-axis and 6 above x-axis
So if you draw a line going right and connecting the point to y-axis (distance 3) and another line going down to x-axis (distance 6)
Then you will get a right triangle.
You _should_ know your trig functions.
We want angle that the side makes with y-axis.
tan(blah) = 3/6 = 1/2 = 0.5
blah = arctan(0.5) = 26.6°
θA = blah + 90° = 116.6° = 117° to 3 significant figures
B is already is 1st quadrant so no need to add 90 or anything.
Distance 2 from x axis (opposite vertical) and 8 from y-axis (adjacent horizontal)
tan(θB) = 2.00/8.00 = 1/4 = 0.25
θB = arctan(0.25) = 14.0°
C=A +B so calculate A+B you’re not braindead so you should get this right.
−3.00 i + 6.00 j + 8.00 i + 2.00 j = 5.00i + 8.00j = C
Also in Q1
tan(θC) = 8/5
θC = 58.0°
For vectors in 3rd quadrant figure out angle from negative x-axis and then add 180°. And in 4th do it from negative y-axis and add 270°.
Solved: Physics: What Angle ?A, Where 0???A | Chegg.com – Physics: What angle ?A, where 0???A<360?, does A? make with the +x-axis? I am not sure how to approach these questions. Let the counterclockwise angles be positive Submit My Answers Give Up Part B What angle θB , where 0° < < 360° , does B make with the +x-axis?Let's first start by talking about positive and negative rotation. Positive rotation takes us up through Q1, past the positive y-axis, down through Q2, past In fact, if we take any angle #0^o<=theta<=360^o# and add the absolute values of the positive and negative rotations, we'll end up with #360^o#.In which step did Melanie make the first error, and which expression should she have written in that step? Angle B has a measure between 0° and 360° and is coterminal with a -865° angle.
What is an angle between 0° and 360° that is coterminal with -86°? – The orientation of a vector is usually expressed as an angle with the positive x axis of a coordinate frame. There are two ways of doing this: The angle is 0° to 360° measured as a counter-clockwise rotation from the positive x axis.Did this page answer your question? A vector has a magnitude of 40.0 units and points 35.0° above the positive x axis.Teach students about graphing along the x and y axis on coordinate graphs as a visual method for showing relationships between numbers. Preparation: Draw a coordinate grid where all students can see it. Label the x- and y-axes from 0 through Students should make the connection to the y-axis.
Unit Test 5 Flashcards | Quizlet – We have already found the first solution which is the acute angle from the first quadrant, so to find the second solution, we need to use the rule in the second quadrant. Working with the graphs of trigonometric functions.The angle relative to the X-axis is arctan(slope) and you can subtract the angles from each other to get the incident angle between lines. Indeed, the gradient (or slope) [math]m[/math] in the equation is the tangent of the angle that the line makes with the positive horizontal.How long does it take for the rock to reach the maximum height of its trajectory if air resistance is negligibly small and g = 9.80 m/s2? (Hint : the vertical component of the velocity is 3.13 sin 30 and then use that as the initial vertical velocity and 0 as the final velocity since the ball stops at the max height. )