state the direction ratios of the line x+1/2 = y-1/3 = z-1/7
Answers
Answered by
1
Answer:
Correct option is A)
Step-by-step explanation:
We have,
2
x−7
=
−3
y+17
=
1
z−6
and
1
x+5
=
2
y+3
=
−2
z−4
The direction ratios of the given lines are proportional to 2,−3,1 and 1,2,−2
The vectors parallel to the given vectors are
b
1
=2
i
^
−3
j
^
+
k
^
and
b
2
=
i
^
+2
j
^
−2
k
^
Vector perpendicular to the given two lines is
b
=
b
1
×
b
2
=
∣
∣
∣
∣
∣
∣
∣
∣
i
^
2
1
j
^
−3
2
k
^
1
−2
∣
∣
∣
∣
∣
∣
∣
∣
=(6−2)
i
^
−(−4−1)
j
^
+(4+3)
k
^
=4
i
^
+5
j
^
+7
k
^
Hence, the direction ratios of the line perpendicular to the given two lines are proportional to 4,5,7
Similar questions