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Projection (component) of one vector along another

This type of question, asked 2 times: 2021 Paper 13, 26 Jul 2022. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 13

    19
    Find projection of A→\overrightarrow{A} on B→\overrightarrow{B} given A→=i^+j^&B→=i^+j^+k^\overrightarrow{A}=\widehat{i}+\widehat{j}\&\overrightarrow{B}=\widehat{i}+\widehat{j}+\widehat{k}

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  2. Question 2

    26 Jul 2022

    111
    If A→=(2i^+3j^−k^)m\overrightarrow{A}= (2\widehat{i}+ 3\widehat{j}-\widehat{k})m and B→=(i^+2j^+2k^)m\overrightarrow{B}= (\widehat{i}+ 2\widehat{j}+ 2\widehat{k})m. The magnitude of component of vector A→\overrightarrow{A} along vector B→\overrightarrow{B} will be ____\_\_\_\_ m.