The position vector of three consecutive vertices of a parallelogram ABCD are A(4 \stackrel{\^}{i}+2 \stackrel{\^}{j}-6 \stackrel{\^}{k}), B(5 \stackrel{\^}{i}-3 \stackrel{\^}{j}+\stackrel{\^}{k}) and C(12 \stackrel{\^}{i}+4 \stackrel{\^}{j}+5 \stackrel{\^}{k}). The position vector of {\D} is given by

Correct Answer is : 11i^+9j^−2k^

-3 \stackrel{\^}{i}-5 \stackrel{\^}{j}-10 \stackrel{\^}{k}

21 \stackrel{\^}{i}+3 \stackrel{\^}{j}

11 \stackrel{\^}{i}+9 \stackrel{\^}{j}-2 \stackrel{\^}{k}

-11 \stackrel{\^}{i}-9 \stackrel{\^}{j}+2 \stackrel{\^}{k}

CBSE Class 12 Math 2023 Outside Delhi Set 3 Solved Paper

Question : 2 of 12

Marks: +1, -0

The position vector of three consecutive vertices of a parallelogram ABCD are

A(4 {i}↖{\^}+2 {j}↖{\^}-6 {k}↖{\^}), B(5 {i}↖{\^}-3 {j}↖{\^}+{k}↖{\^})

and

C(12 {i}↖{\^}+4 {j}↖{\^}+5 {k}↖{\^})

.
The position vector of

{\D}

is given by

Solution:

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