If a - 2i - 3j - 4k- b - i - j - k and c - i - j - k- then compute a - b - c and verify that it is perpendicular to a-

[ a=2i+3j+4k; b=i+j k; #160; c=i j+k; a× (b× c)=( a· c ) ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Properties of Inverse Function

If a = 2i +...

Question

If $a = 2 i + 3 j + 4 k, b = i + j - k a n d c = i - j + k$ , then compute $a \times (b \times c)$ and verify that it is perpendicular to a.

Open in App

Solution

Suggest Corrections

Similar questions

\vec{a} = 2 \hat{i} + 3 \hat{j} + 4 \hat{k}, \vec{b} = \hat{i} + 2 \hat{j} - \hat{k}, \vec{c} = 3 \hat{i} - \hat{j} + 2 \hat{k}

\vec{a} = 2 \hat{i} - 3 \hat{j} + 4 \hat{k}, \vec{b} = \hat{i} + 2 \hat{j} - \hat{k}, \vec{c} = 3 \hat{i} - \hat{j} - 2 \hat{k}

\vec{a} = 11 \hat{i}, \vec{b} = 2 \hat{j}, \vec{c} = 13 \hat{k}

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

[\vec{a} \vec{b} \vec{c}]

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

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

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

[\vec{a} \vec{b} \vec{c}]

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

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

¯ ¯ ¯ a = ¯ i + ¯ j + ¯ ¯ ¯ k, ¯ ¯ b = 2 ¯ i - 3 ¯ j + ¯ ¯ ¯ k

¯ ¯ ¯ a \times ¯ ¯ b

- A = - 2 i - - j + - k, - B = - i - - 3 j - - 5 k, - C = - 3 i - - 4 j - - 4 k

Join BYJU'S Learning Program