yes
Take any three vectors in a plane which, when placed end-to-end form a triangle. The resultant of the three vectors will be zero.
yeah
Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.
Yes, it is possible to add three vectors of equal magnitude but different directions to get a zero vector. This occurs when the vectors are arranged in a way that their directions cancel each other out. Mathematically, this can happen when the vectors form a closed triangle or when they are evenly spaced around a circle.
No.
Take any three vectors in a plane which, when placed end-to-end form a triangle. The resultant of the three vectors will be zero.
yeah
In 3-dimensions, each vector can always be resolved into three orthogonal components.If there are three vectors, then the sum of their components will be some numberin each of the orthogonal directions. All you need is for each group of componentsto add up to zero, and you have a zero resultant of the vectors.Hoping that you've met up with the concept of "unit vectors", we'll offer an example:Vector A: 1i + 1j + 1kVector B: 1i - 2j - 1kVector C: -2i + 1jA + B + C = (1+1-2)i + (1-2+1)j + (1-1)k = 0i + 0j + 0k= zero magnitude
Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.
Yes, two vectors with different magnitudes can be combined to give a zero resultant if they are in opposite directions. However, it is not possible for three vectors with different magnitudes to give a zero resultant because they must have specific magnitudes and directions to cancel each other out completely.
Yes, it is possible to add three vectors of equal magnitude but different directions to get a zero vector. This occurs when the vectors are arranged in a way that their directions cancel each other out. Mathematically, this can happen when the vectors form a closed triangle or when they are evenly spaced around a circle.
Yes - if you accept vectors pointing in opposite directions as "parallel". Example: 3 + 2 + (-5) = 0
Only if your zero is a null vector. You cannot add pure numbers and vectors.
No.
No.
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
Sure, Just space them 120 degrees apart.