filmov
tv
If \( O A B C \) is a tetrahedron with equal edges and \( \hat{\mat...
Показать описание
If \( O A B C \) is a tetrahedron with equal edges and \( \hat{\mathbf{p}}, \hat{\mathbf{q}}, \hat{\mathbf{r}} \) are unit vectors along bisectors of \( \overrightarrow{\mathbf{O A}}, \overrightarrow{\mathbf{O B}}: \overrightarrow{\mathbf{O B}}, \overrightarrow{\mathbf{O C}}: \overrightarrow{\mathbf{O C}}, \overrightarrow{\mathbf{O A}} \) respectively and \( \hat{\mathbf{a}}=\frac{\overrightarrow{\mathbf{O A}}}{|\overrightarrow{\mathbf{O A}}|}, \overrightarrow{\mathbf{b}}=\frac{\overrightarrow{\mathbf{O B}}}{|\overrightarrow{\mathbf{O B}}|}, \overrightarrow{\mathbf{c}}=\frac{\overrightarrow{\mathbf{O C}}}{|\overrightarrow{\mathbf{O C}}|} \), then :
\( \mathrm{P} \)
(a) \( \frac{[\hat{\mathbf{a}} \hat{\mathbf{b}} \hat{\mathbf{c}}]}{[\hat{\mathbf{p}} \hat{\mathbf{q}} \hat{\mathbf{r}}]}=\frac{3 \sqrt{3}}{2} \)
(b) \( \frac{[\hat{\mathbf{a}}+\hat{\mathbf{b}} \hat{\mathbf{b}}+\hat{\mathbf{c}} \hat{\mathbf{c}}+\hat{\mathbf{a}}]}{[\hat{\mathbf{p}}+\hat{\mathbf{q}} \hat{\mathbf{q}}+\hat{\mathbf{r}} \hat{\mathbf{r}}+\hat{\mathbf{p}}]}=\frac{3 \sqrt{3}}{4} \)
(c) \( \frac{[\hat{\mathbf{a}}+\hat{\mathbf{b}} \hat{\mathbf{b}}+\hat{\mathbf{c}} \hat{\mathbf{c}}+\hat{\mathbf{a}}]}{[\hat{\mathbf{p}} \hat{\mathbf{q}} \hat{\mathbf{r}}]}=\frac{3 \sqrt{3}}{2} \)
(d) \( \frac{[\hat{\mathbf{a}} \hat{\mathbf{b}} \hat{\mathbf{c}}]}{[\hat{\mathbf{p}}+\hat{\mathbf{q}} \hat{\mathbf{q}}+\hat{\mathbf{r}} \hat{\mathbf{r}}+\hat{\mathbf{p}}]}=\frac{3 \sqrt{3}}{4} \)
\( \mathrm{P} \)
(a) \( \frac{[\hat{\mathbf{a}} \hat{\mathbf{b}} \hat{\mathbf{c}}]}{[\hat{\mathbf{p}} \hat{\mathbf{q}} \hat{\mathbf{r}}]}=\frac{3 \sqrt{3}}{2} \)
(b) \( \frac{[\hat{\mathbf{a}}+\hat{\mathbf{b}} \hat{\mathbf{b}}+\hat{\mathbf{c}} \hat{\mathbf{c}}+\hat{\mathbf{a}}]}{[\hat{\mathbf{p}}+\hat{\mathbf{q}} \hat{\mathbf{q}}+\hat{\mathbf{r}} \hat{\mathbf{r}}+\hat{\mathbf{p}}]}=\frac{3 \sqrt{3}}{4} \)
(c) \( \frac{[\hat{\mathbf{a}}+\hat{\mathbf{b}} \hat{\mathbf{b}}+\hat{\mathbf{c}} \hat{\mathbf{c}}+\hat{\mathbf{a}}]}{[\hat{\mathbf{p}} \hat{\mathbf{q}} \hat{\mathbf{r}}]}=\frac{3 \sqrt{3}}{2} \)
(d) \( \frac{[\hat{\mathbf{a}} \hat{\mathbf{b}} \hat{\mathbf{c}}]}{[\hat{\mathbf{p}}+\hat{\mathbf{q}} \hat{\mathbf{q}}+\hat{\mathbf{r}} \hat{\mathbf{r}}+\hat{\mathbf{p}}]}=\frac{3 \sqrt{3}}{4} \)
0:07:04
Number Theory Proof: If a|b and b|a then a = b or a = -b
0:05:39
Set Theory Proof A is a subset of B if and only if A intersect B = A
0:03:01
For all Real Numbers a and b, if ab=0 then either a=0 or b=0 | The Real Numbers | Pythagoras Math
0:01:28
If V={a,e,i,o,u} and B={a,i,k,u} find V-B and B-V
0:00:44
Math Challenge: If a% of b = 25, What is b% of a? #maths #math
0:11:30
P. Diddy Smiles in Court While Entering Federal Court in Jail Jumpsuit
0:02:15
If `a^(1/3) + b^(1/3) + c^(1/3) = 0` then `(a+b+c)^3` =
0:07:50
If sin(A-B) = 1/√10; cos(A+B) = 2/√29; find tan2A |#themathprofessor #shortmathvideo
0:08:15
If, A + B = 0 Then find AB || Maths Basic Question || Increase your IQ
0:08:15
Prove that : If a + b + c = 0 then a³ + b³ + c³ = 3abc | VIJAY Maths
0:01:28
If A={1,2,3,4} and B={1,2,3,5,6} find A∩B and B∩A
0:03:33
7. If a,b,c rational and a + b + c=0, show roots of (b+c–a)x² + (c+a–b)x +(a+b+c) = 0 are rational....
0:13:40
If a and b are two elements of a.finite group G s.t.ab=ba and (o(a),o(b))=1 then o(ab)=o(a)o(b)
0:01:50
If a/b = 2, what is the value of 4b/a?
0:01:38
If A and B are two sets such that A⊂B then what is A∪B
0:03:26
If (a + b + c) =0, show that a³ + b³ + c³ = 3abc
0:01:58
If a and b are roots of the equation x^2+ax+b=0, then a+b =
0:01:21
If 20% of a = b, then b% of 20 is equal to:
0:05:08
If ab is greater than 0 then either both a and b are greater than 0 or both less than 0
0:03:20
If a0 and b0, then the image of (a, b) in y-axis lies in quadrant. (W)
0:01:29
if 15% of a + b = 25% of a -b then what percent of b is equal to a
2:19:45
KOSHIGAYA ALPHAS vs RYUKYU GOLDEN KINGS | 2024-10-12 | RESONA GROUP B.LEAGUE 2024-25
0:04:49
If three points (h, 0), (a, b) and (0, k) lie on a line, show that a/h + b/k = 1
0:01:21
If |a+b|=|a-b| then angle between a and b is? Jee Mains test series vector algebra
Комментарии