Are the following statements true or false?\ The value of

vec(v)*(vec(v)\\\\times vec(w))

is always zero.\ For any scalar

c

and any vector

vec(v)

, we have

||cvec(v)||=c||vec(v)||

.\ If

vec(v)

and

vec(w)

are any two vectors, then

||vec(v)+vec(w)||=||vec(v)||+||vec(w)||

.\

(vec(i)\\\\times vec(j))*vec(k)=vec(i)*(vec(j)\\\\times vec(k))

.

Are the following statements true or false? 1. The value of v(vw) is always zero. 2. For any scalar c and any vector v, we have cv=cv. 3. If v and w are any two vectors, then v+w=v+w. 4. (ij)k=i(jk)