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# simple vectors.. watch

1. can u guys help me to solve this!

PR=2i+3j
QS=6i+4j
OP=2i+3j
OQ=3i+2j
OR=4i+6j
OS=9i+6j

SOlve:the position vector of the point of intersection between PQ and RS.
kindly solve this

and :

2. vector a=4i-3j ; magnitude vector b= 3 find the greatest and smallest values of magnitude of ( vect a +vect b)

Thank you

complete explaination / solution would be so very much appreciate!
I need helpppppppppp!
2. 1)
OP = 2i + 3j
OQ = 3i + 2j

OM = ½(OP + OQ)
OM = ½(5i + 5j)
==========

OR = 4i + 6j
OS = 9i + 6j
ON = ½(OR + OS)
ON = ½(13i + 12j)
============

2)
a = 4i - 3j
|a| = sqrt(4² + 3²) = 5
|b| = 3
b can be in any direction.
if b is in the same dirn as a then |a+b| = 3 + 5 = 8
if b is in the oppo dirn then |a+b| = 5 - 3 = 2
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3. (Original post by Fong_Leonard)
can u guys help me to solve this!

PR=2i+3j
QS=6i+4j
OP=2i+3j
OQ=3i+2j
OR=4i+6j
OS=9i+6j

SOlve:the position vector of the point of intersection between PQ and RS.
kindly solve this
If you take O as the origin, notice that P will lie on the line OR, and Q will lie on the line OS.

Find the vector equation of the line RS: r1 = 4i + 6j + ø(5i) = (4+5ø)i + 6j
eq. PQ: r2 = 2i + 3j + µ(i - j) = (2+µ)i + (3-µ)j

equate the coefficients of i and j for the two, to get: ø=-1 and µ=-3
substitue ø=-1 in r1 to give the position vector of the point of intersection: X = -i + 6j
4. (Original post by Fermat)
1)
OP = 2i + 3j
OQ = 3i + 2j

OM = ½(OP + OQ)
OM = ½(5i + 5j)
==========

OR = 4i + 6j
OS = 9i + 6j
ON = ½(OR + OS)
ON = ½(13i + 12j)
============
Is that what the question wanted?
5. (Original post by mockel)
Is that what the question wanted?
6. (Original post by Fermat)
oh ok, thanks for clearing it up
7. Wondering if like the vector equation of RS = Vect OR +t vect RS

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