To find the magnitude of the resultant displacement (\mathbf{R} = \mathbf{A} + \mathbf{B}), we first add the vectors:
[ \mathbf{R} = (5i - 23) + (-3i + 4j + 6k) = (5 - 3)i + 4j + 6k - 23 = 2i + 4j + 6k - 23. ]
This simplifies to (\mathbf{R} = 2i + 4j - 17). The magnitude of (\mathbf{R}) is given by:
[ |\mathbf{R}| = \sqrt{(2)^2 + (4)^2 + (-17)^2} = \sqrt{4 + 16 + 289} = \sqrt{309} \approx 17.578. ]
Thus, the magnitude of the resultant displacement is approximately 17.58 m.
if b + a , since a+b equals b + a due to it being commutative . it shud have the same magnitude and direction
8.2462 (rounded)
The magnitude of an integer is the value of the integer with a positive (plus) sign. |5| = +5 = 5 |-5| = +5 = 5
a and b must face in opposite directions.
a vector
if b + a , since a+b equals b + a due to it being commutative . it shud have the same magnitude and direction
1. When the two vectors are parlell the magnitude of resultant vector R=A+B. 2. When the two vectors are having equal magnitude and they are antiparlell then R=A-A=0. For more information: thrinath_dadi@yahoo.com
Magnitude of the resultant vector = Square root of[ (sum of x-components of all component vectors)2 plus(sum of y-components of all component vectors)2plus (sum of z-components of all component vectors)2 ]
4
An easy way to visual this is by drawing a triangle with the vectors. Obviously one vector will be the vertical and another will be perpendicular to that, the horizontal. These two vectors will connect at the ends. Then you connect the other two ends with another vector and that is the resultant. Vector sum, or the square root of the sum of the squares; you use the pythagorem theorem to find the resultant, also the hypotenuse. r2= v12 + v22. The vertical vector squared plus the horizontal squared, you take the root of the sum of the squared vectors and that gives the resultant vector. If the horizontal or vertical vector is negative, then the resultant vector will be negative as well. This is used for any units including velocity, distance, and acceleration.
A star with a magnitude of +8 is "very dim", and not visible in urban or suburban areas. Only in the darkest rural areas, and only for people with EXCELLENT eyes, would a +8 magnitude star be visible.
The moment magnitude uses seismographs plus what physically occurs during an earthquake.
The moment magnitude uses seismographs plus what physically occurs during an earthquake.
8.2462 (rounded)
The magnitude of an integer is the value of the integer with a positive (plus) sign. |5| = +5 = 5 |-5| = +5 = 5
The moment magnitude uses seismographs plus what physically occurs during an earthquake.
The resultant of the upward force of 400 lbs and the right horizontal force of 130 lbs is a diagonal force with its magnitude determined by using the Pythagorean theorem (√(400^2 + 130^2) ≈ 423 lbs). This diagonal force represents the combined effect of the two individual forces acting together.