If a- satisfies a- i - 2 j - k - i - k- then a- is equal to

The correct option is B λi + (2 λ + 1) j + λk, λ∈ R a⃗× (i + 2 nbsp;j + nbsp;k) = nbsp;i nbsp;k = (j× (i + 2 nbsp;j + nbsp;k)) or ...

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Definition of Vector

If a⃗ satis...

Question

If $\to a$ satisfies $\to a \times (ˆ i + 2 ˆ j + ˆ k) = ˆ i - ˆ k$ , then $\to a$ is equal to

λ ˆ i + (2 λ - 1) ˆ i + λ ˆ k, λ \in R

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λ ˆ i + (1 - 2 λ) ˆ j + λ ˆ k, λ \in R

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λ ˆ i + (2 λ + 1) ˆ j + λ ˆ k, λ \in R

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λ ˆ i - (1 + 2 λ) ˆ j + λ ˆ k, λ \in R

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Solution

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Similar questions

λ \hat{i} + \hat{j} + 2 \hat{k}, \hat{i} + λ \hat{j} - \hat{k} and 2 \hat{i} - \hat{j} + λ \hat{k}

\to a = 2 ˆ i - ˆ j + ˆ k, \to b = ˆ i + 2 ˆ j - ˆ k

\to c = ˆ i + ˆ j - 2 ˆ k

\to b

\to c

\to a

\sqrt{\frac{2}{3}}

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- λ^{2} ˆ i + ˆ j + ˆ k

ˆ i - λ^{2} ˆ j + ˆ k

ˆ i + ˆ j - λ^{2} ˆ k

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ˆ i - 6 ˆ j + 10 ˆ k, - ˆ i - 3 ˆ j + 7 ˆ k, 5 ˆ i - ˆ j + λ ˆ k

7 ˆ i - 4 ˆ j + 7 ˆ k

11

\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})

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