\overline{a}, \overline{b} are position vectors of the points A and B respectively, C and D are points on the line AB such that \overline{ {\AB}}, \overline{ {\AC}} and \overline{ {\BD}}, \overline{ {\BA}} are two pairs of like vectors. If \overline{ {\AC}}=3 \overline{ {\AB}} and \overline{ {\BD}}=2 \overline{ {\BA}}, then \overline{ {\CD}}= [AP EAPCET 21 May 2025 S1]

3 \overline{ {\b}}-4 \overline{ {\a}}

4 \overline{ {\a}}-4 \overline{ {\b}}

4 \overline{ {\a}}-3 \overline{ {\b}}

3 \overline{ {\b}}-3 \overline{ {\a}}

AP EAPCET 21 May 2025 Shift 1 Paper

Section: Mathematics

Question : 30 of 160

Marks: +1, -0

a,b are position vectors of the points A and B respectively, C and D are points on the line AB such that AB,AC and BD,BA are two pairs of like vectors. If AC=3AB and BD=2BA, then CD=

[AP EAPCET 21 May 2025 S1]

3b−4a
4a−4b
4a−3b
3b−3a

Validate

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