(a) Find the coordinates of the foot of the perpendicular drawn from the point {\P}(0,2,3) to the line \frac{x+3}{5}=\frac{ {\y}-1}{2}=\frac{ {\z}+4}{3}. OR (b) Three vectors \overrightarrow{a}, \overrightarrow{b} and \overrightarrow{c} satisfy the condition \overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}=\overrightarrow{0} Evaluate the quantity \mu=\overrightarrow{a} \cdot \overrightarrow{b}+\overrightarrow{b} \cdot \overrightarrow{c}+\overrightarrow{c} \cdot \overrightarrow{a}, if |\overrightarrow{a}|=3, |{ {\b}}^{\to}|=4 and |{ {\c}}^{\to}|=2

CBSE Class 12 Math 2023 Delhi Set 1 Solved Paper - Question 30

Question : 30 of 38

Marks: +1, -0

(a) Find the coordinates of the foot of the perpendicular drawn from the point

{\P}(0,2,3)

to the line

\;{x+3}/{5}=\;{ {\y}-1}/{2}=\;{ {\z}+4}/{3}

.
OR
(b) Three vectors

{a}↖{→}, {b}↖{→}

and

{c}↖{→}

satisfy the condition

{a}↖{→}+{b}↖{→}+{c}↖{→}={0}↖{→}

Evaluate the quantity

µ={a}↖{→} ⋅ {b}↖{→}+{b}↖{→} ⋅ {c}↖{→}+{c}↖{→} ⋅ {a}↖{→}

, if

|{a}↖{→}|=3

|{ {\b}}↖{→}|=4

and

|{ {\c}}↖{→}|=2

Solution:

Go to Question:

Prev Question

Next Question