Prove that \( a^{2}+b^{2}+c^{2}-a b-b c-a c \) is non-negative for all real values of \( a, b \)...

Channel:
PW Solutions
Subscribers:
451,000
Published on ● Video Link: https://www.youtube.com/watch?v=gTu5KD7uB0Y


Duration: 5:16
1 views
0

Prove that \( a^{2}+b^{2}+c^{2}-a b-b c-a c \) is non-negative for all real values of \( a, b \) and \( c \). Also prove that equality holds when \( a=b=c \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-06-19\( \mathrm{E}_{\mathrm{n}}=-313.6 / \mathrm{n}^{2} \mathrm{kcal} / \mathrm{mol} \). If the value...
2023-06-19The radius of the first orbit of \( \mathrm{H} \)-atom is \( \mathrm{r} \). Then, the radius of ...
2023-06-19According to Bohr theory, the angular momentum for an electron of 5 th orbit is: (a) \( 5 \mathr...
2023-06-19Which is the correct relationship: (a) \( \mathrm{E}_{1} \) of \( \mathrm{H}=1 / 2 \mathrm{E}_{2...
2023-06-19If velocity of an electron in \( 1^{\text {st }} \) orbit of \( \mathrm{H} \) atom is \( \mathrm...
2023-06-19Light of wavelength \( \lambda \) falls on metal having work function \( \mathrm{hc} / \lambda_{...
2023-06-19When the frequency of light incident on a metallic plate is doubled above threshold frequency, t...
2023-06-19A bulb of \( 40 \mathrm{~W} \) is producing a light of wavelength \( 620 \mathrm{~nm} \) with \(...
2023-06-19A \( 600 \mathrm{~W} \) mercury lamp emits monochromatic radiation of wavelength \( 331.3 \mathr...
2023-06-19Photoelectric effect can be explained by assuming that light: (a) Is a form of transverse wave. ...
2023-06-19Prove that \( a^{2}+b^{2}+c^{2}-a b-b c-a c \) is non-negative for all real values of \( a, b \)...
2023-06-19Electromagnetic radiations of wavelength \( 242 \mathrm{~nm} \) is just sufficient to ionise Sod...
2023-06-19The highest value of e \( / \mathrm{m} \) of anode rays has been observed when the discharge tub...
2023-06-19The MRI (magentic resonance imaging) body scanners used in hospitals operate with \( 400 \mathrm...
2023-06-19Sometimes it is convenient to construct a system of units so that all quantities can be expresse...
2023-06-19Number of real solution of \( \log _{5}\left[2+\log _{3}(x+3)\right]=0 \) is
2023-06-19Atomic number of an element represents: (a) Number of neutrons in the nucleus. (b) Atomic mass o...
2023-06-19If \( \log _{x-3}(2 x-3) \) is a meaningful quantity then find the interval in which \( x \) mus...
2023-06-19Number of cyphers after decimal before a significant figure starts in \( \left(\frac{5}{4}\right...
2023-06-19\( \left[\left\{\left(\frac{1}{7^{2}}\right)^{-2}\right\}^{-1 / 3}\right]^{1 / 4}=7^{x} \) then ...
2023-06-19If \( a, b, c \) are real and \( a^{2}+16 b^{2}+25 c^{2}-4 a b-20 b c-5 a c=0 \) then find the r...