ntFind scalar and vector components of (3i+j+3k) in direction of (i-j-k)n

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The component of vector i+j in the direction of 3i+4j is

a = i + 2 j + 3 k

b = 3 i + j

a + b

\to b = 4 ˆ i + 2 ˆ j + 3 ˆ k

\to a = ˆ i + ˆ j + ˆ k

ˆ i - ˆ j

^a = ˆ i + ˆ k

2 ˆ i + 2 ˆ j + 2 ˆ k

3 \hat{i} + \hat{j} - \hat{k}, 2 \hat{i} - \hat{j} + 7 \hat{k} and 7 \hat{i} - \hat{j} + 23 \hat{k}

\hat{i} + 2 \hat{j} + 3 \hat{k}, 2 \hat{i} + \hat{j} + 3 \hat{k} and \hat{i} + \hat{j} + \hat{k}

i + j + k

i + 2 j + 3 k

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