Show that the line \( \mathrm{L} \) whose vector equation is \( \vec{r}=2 \hat{i}-2 \hat{j}+3 \h... VIDEO
Show that the line \( \mathrm{L} \) whose vector equation is \( \vec{r}=2 \hat{i}-2 \hat{j}+3 \hat{k}+\lambda(\hat{i}-\hat{j}+4 \hat{k}) \) is parallel to the plane \( \pi \) whose vector equation is \( \vec{r} \cdot(\hat{i}+5 \hat{j}+\hat{k})=5 \) and find the distance between them.https://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2022-10-26 X and Y are two human beings. The organ A in the reproductive system of X releases a mature gamet... 2022-10-26 Choose the correct statement of the following
(a) conversion of solid into vapours without passin... 2022-10-26 Find the equation of a line parallel to \( x \)-axis and passing through the origin. 2022-10-26 In which of the following conditions, the distance between the molecules of hydrogen gas would in... 2022-10-26 Find the coordinates of the point where the line through \( (3,-4,-5) \) and \( (2,-3,1) \) cros... 2022-10-26 Which one of the following sets of phenomena would increase on raising the temperature?
(a) Diffu... 2022-10-26 A sample of water under study was found to boil at 102^∘C at normal temperature and pressure. Is ... 2022-10-26 Find the shortest distance between lines : \( \vec{r}=6 \hat{i}+2 \hat{j}+2 \hat{k}+\lambda(\hat... 2022-10-26 The boiling points of diethyl ether, acetone and n-butyl alcohol are 35^∘C, 56^∘C and 118^∘C resp... 2022-10-26 Find the coordinates of the point where the line through \( (5,1,6) \) and \( (3,4,1) \) crosses... 2022-10-26 Show that the line \( \mathrm{L} \) whose vector equation is \( \vec{r}=2 \hat{i}-2 \hat{j}+3 \h... 2022-10-26 If the coordinates of the points A, B, C, D be \( (1,2,3) \), \( (4,5,7),(-4,3,-6) \) and \( (2,... 2022-10-26 Show that the four points having position vectors \( 6 \hat{i}-7 \hat{j}, 16 \hat{i}-19 \hat{j}-... 2022-10-26 A few substances are arranged in the increasing order of 'forces of attraction' between their par... 2022-10-26 Find the point, where the line joining the points \( (1,3,4) \) and \( (-3,5,2) \) intersects th... 2022-10-26 Find the vector equation of the line passing through \( (1,2,3) \) and perpendicular to the plan... 2022-10-26 Seema visited a Natural Gas Compressing Unit and found that the gas can be liquefied under specif... 2022-10-26 If the lines \( \frac{x-1}{-3}=\frac{y-2}{2 k}=\frac{z-3}{2} \) and \( \frac{x-1}{3 k}=\frac{y-1... 2022-10-26 A person first crossed pure-bred pea plants having round-yellow seeds with pure-bred pea plants h... 2022-10-26 During summer, water kept in an earthen pot becomes cool because of the phenomenon of
(a) diffusi... 2022-10-26 The property to flow is unique to fluids. Which one of the following statements is correct?
(a) O...
0