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    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!
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    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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    (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
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    (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?
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    (Original post by mockel)
    Is that what the question wanted?
    Nope! Misread it
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    (Original post by Fermat)
    Nope! Misread it
    oh ok, thanks for clearing it up
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    Wondering if like the vector equation of RS = Vect OR +t vect RS
 
 
 
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