Mathematics

Problem

![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/6331849552f44ea7838787dc40e98e98/30a26f2d17ca95672702bf50fb4f0242_img.jpg) Let

\vec{a} = 4\hat{i} - \hat{j} + \hat{k}

\vec{b} = 11\hat{i} - \hat{j} + \hat{k}

and

\vec{c}

be a vector such that

(\vec{a} + \vec{b}) \times \vec{c} = \vec{c} \times (-2\vec{a} + 3\vec{b})

. If

(2\vec{a} + 3\vec{b}) \cdot \vec{c} = 1670

, then

|\vec{c}|^2

is equal to: A 1609 B 1618 C 1600 D 1627

Browse the problem library