Vector Algebra Part 3

Section: Mathematics

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Question : 4 of 72

Marks: +1, -0

Let PQR be a triangle such that

→

PQ

=−2

∧

i

−

∧

j

+2

∧

k

and

→

PR

=a

∧

i

+b

∧

j

−4

∧

k

,a,b∈Z. Let S be the point on QR , which is equidistant from the lines PQ and PR. If |

→

PR

|=9 and

→

PS

=

∧

i

−7

∧

j

+2

∧

k

, then the value of 3a−4b is ____

[28 Jan 2026 Shift 1]

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