Question: (a) Let R7 be the Euclidean 7-space with cartesian coordinates (1. , 3, Vs. 2) and : M-R' defined as (u, v, w, z)

(a) Let R7 be the Euclidean 7-space with cartesian coordinates (1. ,

(a) Let R7 be the Euclidean 7-space with cartesian coordinates (1. , 3, Vs. 2) and : M-R' defined as (u, v, w, z) (v, u, u cos w, v3v cos te, u sin w, v3 v sin w, 2), u, v 0; %3D embeds M into R. (i) Find the basis of the tangent space of M. (ii) Compute the metric on M induced by .

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