If a - i - j - k - b - i -2 j -2 k - and c - i -2 j - k - then a unit vector normal to the vectors a - b - and b - c - isa i -b j -c k -d none of these

(a) i^ a #8594;+b #8594;=0i^+3j^+k^b #8594; c #8594;=0i^ 0j^+3k^a #8594;+b #8594; #215;b #8594; c #8594;=i^j^k^031003 #160; #160; #160; ...

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Orthogonal System of Vectors

If a →= i ∧+ ...

Question

If $\vec{a} = \hat{i} + \hat{j} - \hat{k}, \vec{b} = - \hat{i} + 2 \hat{j} + 2 \hat{k} and \vec{c} = - \hat{i} + 2 \hat{j} - \hat{k},$ then a unit vector normal to the vectors $\vec{a} + \vec{b} and \vec{b} - \vec{c}$ is
(a) $\hat{i}$

(b) $\hat{j}$

(c) $\hat{k}$

(d) none of these

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a = i + j - k, b = - i + 2 j + k

c = - i + 2 j - k

a + b

b + c

a = i + j - k, b = - i + 2 j + k

c = - i + 2 j - k .

a + b

b + c

\vec{a} = \hat{i} - \hat{j} + \hat{k}, \vec{b} = 2 \hat{i} + \hat{j} - \hat{k}, \vec{c} = λ \hat{i} - \hat{j} + λ \hat{k}

\vec{a} = 2 \hat{i} - \hat{j} + \hat{k}, \vec{b} = \hat{i} + 2 \hat{j} - 3 \hat{k}, \vec{c} = λ \hat{i} + λ \hat{j} + 5 \hat{k}

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

\vec{a} = \hat{i} + 3 \hat{j}, \vec{b} = 5 \hat{k}, \vec{c} = λ \hat{i} - \hat{j}

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

2 \vec{a} - \vec{b} + 3 \vec{c .}

¯ ¯ ¯ a = ¯ i + ¯ j + ¯ ¯ ¯ k, ¯ ¯ b = ¯ i - ¯ j + 2 ¯ ¯ ¯ k

¯ ¯ c = x ¯ i + (x - 2) ¯ j + ¯ ¯ ¯ k

¯ ¯ c

¯ ¯ ¯ a

¯ ¯ b

x

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