Compute the magnitude of the following vector - a - 2i-7j-3k

a = 2i 7j 3k |a | = √(2^2 +( 7)^2+( 3)^2) |a | = √(4+49+9)=√(62) ...

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Linear Combination of Vectors

Compute the m...

Question

Compute the magnitude of the following vector :
$\to a = 2 ˆ i - 7 ˆ j - 3 ˆ k$

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Solution

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\to a = 2 ˆ i - 6 ˆ j - 3 ˆ k

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b = 2 i - 2 j + k

c = 2 i + 2 j + 3 k

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\to a = 2 ¯ i - 2 ¯ j + ¯ ¯ ¯ k

¯ ¯ b = 2 ¯ i + 2 ¯ j + 3 ¯ ¯ ¯ k

\vec{r} \cdot (3 \hat{i} - \hat{j} + \hat{k}) = 1 and \vec{r} \cdot (\hat{i} + 4 \hat{j} - 2 \hat{k}) = 2

- 2 \hat{i} + 7 \hat{j} + 13 \hat{k}

2 \hat{i} + 7 \hat{j} - 13 \hat{k}

- 2 \hat{i} - 7 \hat{j} + 13 \hat{k}

2 \hat{i} + 7 \hat{j} + 13 \hat{k}

¯ ¯¯ ¯ A = 5 ¯ i + 7 ¯ j + 3 ¯ ¯ ¯ k

4 ¯ ¯¯ ¯ B = 2 ¯ i + 2 ¯ j + c ¯ ¯ ¯ k

c

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