Let a=−i^−k^,b=−i^+j^andc=i^+2j^+3k^ be three given vectors. If r is a vector such that r×b=c×d and ra˙=0, then find the value of rb˙˙

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Let {{a}}=-{{i}}-{{k}},{{b}}=-{{i}}+{{j}}{a}{n}{d}{{c}}={{i}}+

Question

Let $a = - \hat{i} - \hat{k}, b = - \hat{i} + \hat{j} a n d c = \hat{i} + 2 \hat{j} + 3 \hat{k}$ be three given vectors. If $r$ is a vector such that $r \times b = c \times d$ and $r \dot{a} = 0,$ then find the value of $r \dot{b} ˙$

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Eleanor Discussed

Let

a = - \hat{i} - \hat{k}, b = - \hat{i} + \hat{j} a n d c = \hat{i} + 2 \hat{j} + 3 \hat{k}

be three given vectors. If

r

is a vector such that

r \times b = c \times d

and

r \dot{a} = 0,

then find the value of

r \dot{b} ˙

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Question Text	Let $a = - \hat{i} - \hat{k}, b = - \hat{i} + \hat{j} a n d c = \hat{i} + 2 \hat{j} + 3 \hat{k}$ be three given vectors. If $r$ is a vector such that $r \times b = c \times d$ and $r \dot{a} = 0,$ then find the value of $r \dot{b} ˙$
Answer Type	Video solution: 1
Upvotes	150