16. If a = 31 +1 +2k and b = 21-2; +4k(a) find the magnitude of axb(b)

1.	16. If a = 31 +1 +2k and b = 21-2; +4k(a) find the magnitude of axb(b) find a unit vector perpendicular to both ā and b(c)find the cosine and sine of the angle between the vector and b
Answer» Steps : *is that a=3i+J+2k, and b=2i-2j+4 ?* WELL, Q.a a × b = i (1·4 - 2·(-2)) - j (3·4 - 2·2) + K (3·(-2) - 1·2) = i (4 + 4) - j (12 - 4) + k (-6 - 2) = 8( i-j-k) (ans of Q.a) Q.b unit vector perpendicular to both ā and b is= $\frac{ a \times b }{ \|a \times b\| }$ $\frac{8( i-j-k)}{ \sqrt{64 + 64 + 64} }$ $\frac{8( i-j-k)}{ {8 \sqrt{3} } }$ $\frac{( i-j-k)}{ { \sqrt{3} } }$ (ans of Q.b) Q.c cos angle between the vector a and b : $\cos \alpha = \frac{a.b}{ \|a\| . \|b\| }$ {calculate steps } (ans of Q.c) SINE angle between the vector a and b : $\sin \alpha = \frac{ \|a \times b\| }{ \|a\| . \|b\| }$ {calculate steps } (ans of Q.c) Mark as Brainliest if it helps ⚡ thank you .