Let a=4i^+5j^−k^,b=i^−4j^+5k^ and c=3i^+j^−k^ . Find a vector dwhich is perpendicular to both c and b and d.a=21

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Let {{a}}={4}{{i}}+{5}{{j}}-{{k}},{{b}}={{i}}-{4}{{j}}+{5}{{k}

Question

Let $a = 4 \hat{i} + 5 \hat{j} - \hat{k}, b = \hat{i} - 4 \hat{j} + 5 \hat{k}$ and $c = 3 \hat{i} + \hat{j} - \hat{k}$ . Find a vector $d$ which is perpendicular to both $c$ and $b$ and $d . a = 21$

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Scarlett Discussed

Let

a = 4 \hat{i} + 5 \hat{j} - \hat{k}, b = \hat{i} - 4 \hat{j} + 5 \hat{k}

and

c = 3 \hat{i} + \hat{j} - \hat{k}

. Find a vector

d

which is perpendicular to both

c

and

b

and

d . a = 21

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Question Text

Let

a = 4 \hat{i} + 5 \hat{j} - \hat{k}, b = \hat{i} - 4 \hat{j} + 5 \hat{k}

and

c = 3 \hat{i} + \hat{j} - \hat{k}

. Find a vector

d

which is perpendicular to both

c

and

b

and

d . a = 21