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Triangle with given side lengths: projection of one side vector on another

The same question, asked 2 times: 2021 Paper 10*, 2021 Paper 12. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 10

    62
    In a triangle ABCABC, if ∣BC→∣=8,∣CA→∣=7|\overrightarrow{BC}| = 8,|\overrightarrow{CA}| = 7, ∣AB→∣=10|\overrightarrow{AB}| = 10, then the projection of the vector AB→\overrightarrow{AB} on AC→\overrightarrow{AC} is equal to:

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  2. Question 2

    2021 Paper 12

    58
    In a triangle ABCABC, if ∣BC→∣=3,∣CA→∣=5|\overrightarrow{BC}| = 3,|\overrightarrow{CA}| = 5 and ∣BA→∣=7|\overrightarrow{BA}| = 7, then the projection of the vector BA→\overrightarrow{BA} on BC→\overrightarrow{BC} is equal to

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