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Let {{a}}={2}{{i}}+_{{1}}{{j}}+{3}{{k}},{{b}}={4}{{i}}+{({3}-_

Question

Let $a = 2 \hat{i} + λ_{1} \hat{j} + 3 \hat{k}, b = 4 \hat{i} + (3 - λ_{2}) \hat{j} + 6 \hat{k}$ and $c = 3 \hat{i} + 6 \hat{j} + (λ_{3} - 1) \hat{k}$ be three vectors such that $b = 2 a$ and $a$ is perpendicular to $c$ then a possible value of $(λ_{1}, λ_{2}, λ_{3})$ is : (a) $(1, 3, 1)$ (b) $(- \frac{1}{2}, 4, 0)$ (c) $(1, 5, 1)$ (d) $(\frac{1}{2}, 4, - 2)$

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Sebastian Discussed

Let

a = 2 \hat{i} + λ_{1} \hat{j} + 3 \hat{k}, b = 4 \hat{i} + (3 - λ_{2}) \hat{j} + 6 \hat{k}

and

c = 3 \hat{i} + 6 \hat{j} + (λ_{3} - 1) \hat{k}

be three vectors such that

b = 2 a

and

a

is perpendicular to

c

then a possible value of

(λ_{1}, λ_{2}, λ_{3})

is : (a)

(1, 3, 1)

(b)

(- \frac{1}{2}, 4, 0)

(c)

(1, 5, 1)

(d)

(\frac{1}{2}, 4, - 2)

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Question Text	Let $a = 2 \hat{i} + λ_{1} \hat{j} + 3 \hat{k}, b = 4 \hat{i} + (3 - λ_{2}) \hat{j} + 6 \hat{k}$ and $c = 3 \hat{i} + 6 \hat{j} + (λ_{3} - 1) \hat{k}$ be three vectors such that $b = 2 a$ and $a$ is perpendicular to $c$ then a possible value of $(λ_{1}, λ_{2}, λ_{3})$ is : (a) $(1, 3, 1)$ (b) $(- \frac{1}{2}, 4, 0)$ (c) $(1, 5, 1)$ (d) $(\frac{1}{2}, 4, - 2)$
Answer Type	Video solution: 1
Upvotes	150