If the vectors -3i-4j- k and - i-8j-6k are collinear vectors- then find - and -

[ | [ i #160; amp; j #160; amp; k #160;; 3 amp; 4 amp; λ #160;; μ ...

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If the vector...

Question

If the vectors $- 3 i + 4 j + λ k$ and $μ i + 8 j + 6 k$ are collinear vectors, then find $λ$ and $μ$ .

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\vec{r} = 3 \hat{i} + 8 \hat{j} + 3 \hat{k} + λ (3 \hat{i} - \hat{j} + \hat{k}) and \vec{r} = - 3 \hat{i} - 7 \hat{j} + 6 \hat{k} + μ (- 3 \hat{i} + 2 \hat{j} + 4 \hat{k})

\vec{r} = (3 \hat{i} + 5 \hat{j} + 7 \hat{k}) + λ (\hat{i} - 2 \hat{j} + 7 \hat{k}) and \vec{r} = - \hat{i} - \hat{j} - \hat{k} + μ (7 \hat{i} - 6 \hat{j} + \hat{k})

\vec{r} = (\hat{i} + 2 \hat{j} + 3 \hat{k}) + λ (2 \hat{i} + 3 \hat{j} + 4 \hat{k}) and \vec{r} = (2 \hat{i} + 4 \hat{j} + 5 \hat{k}) + μ (3 \hat{i} + 4 \hat{j} + 5 \hat{k})

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

\vec{r} = (λ - 1) \hat{i} + (λ + 1) \hat{j} - (1 + λ) \hat{k} and \vec{r} = (1 - μ) \hat{i} + (2 μ - 1) \hat{j} + (μ + 2) \hat{k}

\vec{r} = (2 \hat{i} - \hat{j} - \hat{k}) + λ (2 \hat{i} - 5 \hat{j} + 2 \hat{k}) and, \vec{r} = (\hat{i} + 2 \hat{j} + \hat{k}) + μ (\hat{i} - \hat{j} + \hat{k})

\vec{r} = (\hat{i} + \hat{j}) + λ (2 \hat{i} - \hat{j} + \hat{k}) and, \vec{r} = 2 \hat{i} + \hat{j} - \hat{k} + μ (3 \hat{i} - 5 \hat{j} + 2 \hat{k})

\vec{r} = (8 + 3 λ) \hat{i} - (9 + 16 λ) \hat{j} + (10 + 7 λ) \hat{k}

\vec{r} = 15 \hat{i} + 29 \hat{j} + 5 \hat{k} + μ (3 \hat{i} + 8 \hat{j} - 5 \hat{k})

λ

2 i + j + k

i - 4 j + λ k

3 \hat{i} - 6 \hat{j} + \hat{k} and 2 \hat{i} - 4 \hat{j} + λ \hat{k}

(a) \frac{2}{3} (b) \frac{3}{2} (c) \frac{5}{2} (d) \frac{2}{5}

- \hat{j} - \hat{k}, 4 \hat{i} + 5 \hat{j} + λ \hat{k}, 3 \hat{i} + 9 \hat{j} + 4 \hat{k} and - 4 \hat{i} + 4 \hat{j} + 4 \hat{k}

2 i + λ j - k

2 i - 2 j + 2 k

λ

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