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Can the resultant of 3 vectors be 0?
Yes. A simple case would be a vector 2a acting at a point in one direction and two vectors, each of magnitude a, acting at the same point in the opposite direction.
The distance from point A to point B on a grid is scalar or vector?
VECTOR
What is the height of a hill when the angle of elevation to the top of the hill from a point is 50 degrees and is 30 degrees from a point 40 feet farther away from the base of the hill?
It can be shown that:height = (d tan α tan β)/(tan α - tan β)where: α is the angle closest to the objectβ is the angle further away from the objectd is the distance from the point of angle α to the point of angle βThus: height = (40 ft × tan 50° × tan 30°)/(tan 50° - tan 30°) ≈ 44.80 ft
Show that sum of all the angles around a point is 360?
l M l l Q____l____ N lO l l l P Let MP & NQ be lines intersecting at O. Then angle MON + angle NOP = 180 degrees (linear pair) Angle MOQ + angle QOP = 180 degrees (linear pair) Adding the equations, Angle MON + Angle NOP + Angle MOQ + Angle QOP = 180 + 180 degrees = 360 degrees. Therefore all angles around O sum upto 360 degrees.
What is the definition of dent angle in a star polygon?
The dent angle of a star polygon is the angle formed by the bent line between two points that form the point angles. I found a PDF that defines the way to calculate that dent angle and checked it out with a know star. It works: For a star polygon with n points and 2n congruent sides and a point angle of A: the dent angle B = (360/n) + A So for an 8 pointed star with a point angle of 20 degrees, the formula says: (360/8) + 20 = 65 degrees Note that if the point angle is 135 degrees it is really no longer a star polygon because the two (otherwise bent) line between each of the 8 point becomes 180 degrees. The above formula also proves that Equally for an 8 pointed star polygon formed by joining each second point (forming two over lapped squares, the resultant dent angle becomes 135 degrees. Again the formula confirms that angle. Two home-runs feels pretty good! The URL reference is: teach.valdosta.edu/plmoch/MATH3162/Spring%202009/11-3.pdf
What represents the vector sum of all vector quantities acting on a single point?
Resultant
In mathematics in polar coordinates what is the polar coordinates for the point pp on a line makes an angle with the initial line?
the radius vector; and the vectorial angle the radius vector; and the vectorial angle
How many equal vectors should be added to get a null vector?
To get a null vector, you need to add at least two equal vectors together. Adding any number of equal vectors will always result in a vector that is parallel to the original vector, but to get a null vector the magnitudes of two equal vectors must cancel each other out.
What type of angle has 0 degrees?
An angle is the point where two lines meet. A point on a straight line is an "angle" of 180 degrees, so a point at the end of a line might possibly be termed a 0 degree angle, but if it's only 1 line then there isn't really an angle.
What is the definition of an angle around a point?
360 degrees
What does an angle on a point add up to?
360 degrees
When two vectors A and B are drawn from the same point the angle between them is phi If A and B have the same magnitude which value of phi will their vector sum have the same magnitude as A or B?
120 degrees. Go mountaineers!
What is a small square placed at the bottom of perpendicular lines?
It is an indicator that the angle formed at that point is a right angle (90 degrees).The small square at the crossing point of two perpendicular lines serves to indicate that the two lines indeed form an angle of 90 degrees.
How many degrees in an angle at a point?
199
Can the resultant of 3 vectors be 0?
Yes. A simple case would be a vector 2a acting at a point in one direction and two vectors, each of magnitude a, acting at the same point in the opposite direction.
Why is it necessary to place the arrow head of the vector in the terminal?
Placing the arrowhead at the terminal point of a vector indicates the direction in which the vector is acting. Without the arrowhead, the vector would be ambiguous and could be interpreted in multiple directions. The arrowhead helps to clearly define the magnitude and direction of the vector.
Is displacement and resultant the same?
No, displacement is a vector quantity that measures the change in position of an object from its initial point to its final point, while resultant is a vector that represents the sum or combination of all individual vectors acting on an object.
