Of the following 4-vectors, show whether the 4-vectors are spacelike, timelike or lightlike: (a) $t^\mu$ = (0,1,2,3); (b) $n^\mu$ = (0,3,4,5); (c) $r^\mu$ = (3,2,1,0); (d) $t^\mu + n^\mu$, [4 markah/marks]

          Of the following 4-vectors, show whether the 4-vectors are spacelike, timelike or lightlike:
(a) $t^\mu$ = (0,1,2,3);
(b) $n^\mu$ = (0,3,4,5);
(c) $r^\mu$ = (3,2,1,0);
(d) $t^\mu + n^\mu$,
[4 markah/marks]

Of the following 4-vectors, show whether the 4-vectors are spacelike, timelike or lightlike:
(a) t^μ = (0,1,2,3);
(b) n^μ = (0,3,4,5);
(c) r^μ = (3,2,1,0);
(d) t^μ + n^μ,
[4 markah/marks]

Added by Christina P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Mahendra Kumar

Step 1

For vector cr: |cr|^2 = (3)^2 - (2)^2 - (1)^2 - (0)^2 = 9 - 4 - 1 = 4 Since the magnitude is positive, the vector cr is timelike. Show more…

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Of the following 4-vectors, show whether the 4-vectors are spacelike, timelike or lightlike. t=0,1,2,3; (bn=(0,3,4,5); (cr=(3,2,1,0); (d)t"+nu [4 marks]