Telegram group: T.me/BBCNOUN [MTH282] Suppose that \( \alpha=2i-3j+k\) and \(\beta=7i-5j+k\) , find a unit vector perpendicular to \(\alpha\) and \(\beta) respectively. \(\frac{2i+5j+11k }{5\sqrt(6)}\) [MTH282] Vectors with same direction, same a sense (same arrow) but different magnitude are called____ like vectors [MTH282] Solve for z if \((z-2)^2+16=0\). \(2\pm 4i) [MTH282] At any point of the path x=3cos⁡t,y=3sin⁡t,z=4t, find the Tangent vector . n -3 sin⁡t i+3 cos⁡t j+4k [MTH282] At any point of the path x=3cos⁡t,y=3sin⁡t,z=4t, what is the Normal vector? \(1/25 (-3 cos⁡t i-3 sin⁡t j )\) [MTH282] ____ is an example of scalar quantity. mass [MTH282] The principal value of the argument of \((1+i√3)(1-i)\) is____ \(\fra{\pi}{12}\) [MTH282] If \(G ⃗= 〖5t〗^2 i + tj - t^3 k\) and \( F ⃗ = sin ti – cost j\), what is \( d/dt (G. F ⃗)\) ? \(100t^3+2t+ 6t^5\) [MTH282] If \(G⃗= 〖5t〗^2 i + tj - t^3 k\) and \(F ⃗ = sin ti – cost j\), what is \( d/dt (G \times F ⃗)\) ? \((t^3 sin t- 3t^2 cost)i-(t^3 cos⁡(t-3t^2 sin⁡t) j+(5t^2 sin⁡〖t-sin⁡〖t-11t cost) k\)〗 〗 〗 [MTH282] A stone moves along the path \( x=t^3+1,y=t^3\), \( z=2t+5\), where t denote time. What is the component of \((dp)/dt\) ? 3i+2j+2k