Q10 of 112 Page 1134

If the lines and are perpendicular to each other then find the value of λ.

Given –


&


To find – The value of λ


Direction ratios of L1 = (-3,2λ,2)


Direction ratios of L2 = (3λ,1,-5)


Tip – If (a,b,c) be the direction ratios of the first line and (a’,b’,c’) be that of the second, then the angle between these pair of lines is given by


Since the lines are perpendicular to each other,


The angle between the lines








More from this chapter

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8

Find the angle between each of the following pairs of lines:

and


9

Show that the lines and are perpendicular to each other.

 11

Show that the lines x = - y = 2z and x + 2 = 2y – 1 = - z + 1 are perpendicular to each other.

HINT: The given lines are and


12

Find the angle between two lines whose direction ratios are

i. 2, 1, 2 and 4, 8, 1


ii. 5, -12, 13 and -3, 4, 5


iii. 1, 1, 2 and


iv. a, b, c and (b – c), (c – a), (a – b)