1.If a⃗=i^+2j^+3k^\vec{a} = \hat{i} + 2\hat{j} + 3\hat{k}a=i^+2j^+3k^, b⃗=2i^+3j^+2k^\vec{b} = 2\hat{i} + 3\hat{j} + 2\hat{k}b=2i^+3j^+2k^ and c⃗\vec{c}c is a vector perpendicular to b⃗\vec{b}b, then ∣a⃗⋅(b⃗×c⃗)∣b⃗×c⃗∣2(b⃗×c⃗)+a⃗⋅c⃗∣c⃗∣2c⃗∣=\left| \frac{\vec{a}\cdot(\vec{b}\times\vec{c})}{|\vec{b}\times\vec{c}|^2}(\vec{b}\times\vec{c}) + \frac{\vec{a}\cdot\vec{c}}{|\vec{c}|^2}\vec{c} \right| =∣b×c∣2a⋅(b×c)(b×c)+∣c∣2a⋅cc=a.14\sqrt{14}14b.141414c.131313d.17\sqrt{17}17Login to continueOnly logged in users canattempt or see the solution.
