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What are opposite angles?
Opposite angles are angles across from each other in intersecting lines. For example, see the figure below:a-> X
How do you find the total interior angles of a rhombus?
A rhombus is a four sided polygon which like all other four sided shapes are known as quadrilaterals. What they all have in common is that the total sum of their interior angles add up to 360 degrees.
What is the sum of the angles of right angles?
Right angles are 90°. The total measure of a triangle is 180°. So, the sum of the other two angles must equal 90°.
Two angles across from each other that will always be congruent are called?
opposite or vertical angles
What is a non adjacent angles formed by two intersecting lines?
When two lines intersect four angles are formed. Adjacent refers to angles that are next to each other so non adjacent refers to the ones opposite each other. They will have equal angles. Two adjacent angles in this situation will have a sum of 180 degrees.
How do you draw linear independence vectors?
Draw them at right angles to each other.
How great is the resultant of two equal-magnitude vectors at right angles to each other?
Let two equal magnitude vectors be 'X'.. Then, resultant=1.414X
Can it be said that when a pair of vectors are at right angles to each other the resultant is greater than either of the vectors separately?
Yes, when two vectors are at right angles to each other, their resultant vector is greater than either of the individual vectors. This is due to the Pythagorean theorem, which states that the magnitude of the resultant vector is given by the square root of the sum of the squares of the magnitudes of the two vectors. Thus, if the vectors have magnitudes ( A ) and ( B ), the resultant ( R ) is ( R = \sqrt{A^2 + B^2} ), which is always greater than the larger of ( A ) or ( B ) unless one of them is zero.
How is a resolution of a vector different from the resultant of vectors?
When you resolve a vector, you replace it with two component vectors, usually at right angles to each other. The resultant is a single vector which has the same effect as a set of vectors. In a sense, resolution and resultant are like opposites.
Can any vector be represented by two other vectors that are right angels to each others?
Yes. This is the basis of cartesian vector notation. With cartesian coordinates, vectors in 2D are represented by two vectors, those in 3D are represented by three. Vectors are generally represented by three vectors, but even if the vector was not in an axial plane, it would be possible to represent the vector as the sum of two vectors at right angles to eachother.
Can two nonzero vectors give zero resultant when they multiply with each other if yes give condition for same?
yes, if they are at right angles to each other.
What is the magnitude of the resultant of a pair of 5 unit vectors at right angles to each other?
A touch over 7. More exactly 7.0711.
What is orthogonal?
In mathematics, "orthogonal" means perpendicular or independent. In linear algebra, vectors are orthogonal if their dot product is zero, indicating they are at right angles to each other. In statistics, orthogonal variables are uncorrelated, making them useful for multi-variable analysis.
When are magnitudes of two vectors added?
The magnitudes of two vectors are added when the vectors are parallel to each other. In this case, the magnitude of the sum is equal to the sum of the magnitudes of the two vectors.
What is the angle between two vectors if their sum is to be maximum?
The resultant vector has maximum magnitude if the vectors act in concert. That is, if the angle between them is 0 radians (or degrees). The magnitude of the resultant is the sum of the magnitudes of the vectors.For two vectors, the resultant is a minimum if the vectors act in opposition, that is the angle between them is pi radians (180 degrees). In this case the resultant has a magnitude that is equal to the difference between the two vectors' magnitudes, and it acts in the direction of the larger vector.At all other angles, the resultant vector has intermediate magnitudes.
Is the sum and difference of two perpendicular vectors have same lengyhs and also perpendicular to each other?
The sum and difference of two perpendicular vectors are the same in length, but are not perpendicular unless the vectors are the same size. If they are the same size they are perpendicular, other wise they are not perpendicular.
How do you find an angle of a triangle if you have the two other angles?
All the angles together equal 180, so take the two known angles and subtract them from 180.
