In a trapezium ABCD the vector `B vec C = lambda vec(AD).` If `vec p = A vec C + vec(BD)` is coillinear with `vec(AD)` such that `vec p = mu vec (AD),

Question

In a trapezium ABCD the vector `B vec C = lambda vec(AD).` If `vec p = A vec C + vec(BD)` is coillinear with `vec(AD)` such that `vec p = mu vec (AD),

In a trapezium ABCD the vector `B vec C = lambda vec(AD).` If `vec p = A vec C + vec(BD)` is coillinear with `vec(AD)` such that `vec p = mu vec (AD),` then
A. `mu=lamda+1`
B. `lamda=mu+1`
C. `lamda+mu=1`
D. `mu=2+lamda`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
We have, `p=AC+BD=AC+BC+CD`
`=AC+lamdaAD+CD`
`=lamdaAD+(AC+CD)=lamdaAD+AD=(lamda+1)AD`
Therefore, `p=muAD impliesmu=lamda+1`.

4 views Answered 2023-02-05 15:29