Answer:
Explanation:
Generally, length of vector means the magnitude of the vector.
So, given a vector
R = a•i + b•j + c•k
Then, it magnitude can be caused using
|R|= √(a²+b²+c²)
So, applying this to each of the vector given.
(a) 2i + 4j + 3k
The length is
L = √(2²+4²+3²)
L = √(4+16+9)
L = √29
L = 5.385 unit
(b) 5i − 2j + k
Note that k means 1k
The length is
L = √(5²+(-2)²+1²)
Note that, -×- = +
L = √(25+4+1)
L = √30
L = 5.477 unit
(c) 2i − k
Note that, since there is no component j implies that j component is 0
L = 2i + 0j - 1k
The length is
L = √(2²+0²+(-1)²)
L = √(4+0+1)
L = √5
L = 2.236 unit
(d) 5i
Same as above no is j-component and k-component
L = 5i + 0j + 0k
The length is
L = √(5²+0²+0²)
L = √(25+0+0)
L = √25
L = 5 unit
(e) 3i − 2j − k
The length is
L = √(3²+(-2)²+(-1)²)
L = √(9+4+1)
L = √14
L = 3.742 unit
(f) i + j + k
The length is
L = √(1²+1²+1²)
L = √(1+1+1)
L = √3
L = 1.7321 unit
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Correct answer choice is :
B) Red, orange, yellow, green, blue, indigo, and violet
Explanation:
A spectral color is a color that is extracted in a natural human by a single wavelength of light in the apparent rainbow, or by a comparatively narrow band of wavelengths, also recognized as monochromatic light. The combination of colors provided when the light is separated by a prism. Spectrum an indexed order of the elements of an radiation or wave. Electromagnetic rainbow the complete wavelength spectrum of electromagnetic waves.
Answer:
The magnification of the lens is 0.7
Explanation:
We have,
Height of an object is 5 cm
Object is placed 4.25 cm from a lens
Image is formed 3.00 cm behind the lens.
It means u = -4.25 cm
v = -3 cm (behind the lens)
Magnification of the lens is given by :
So, the magnification of the lens is 0.7
Answer:
A capacitor
Explanation:
From experimental findings,the plates are connected to a 10Hz ac generator and a potential difference of 1.5V.The ITO is a transplant conducting material,charges accumulates on it when a voltage is applied to it.Exactly what is seen on a parallel plate capacitor
