− 2 + 2 j3 j− j1 + j√ 3−√ 3 − j− 3 − 3 j− (^102)
y
x
11.(i) 4 (ii) − 3 j (iii) − 2
(iv) − 10 (v) 10j (vi)
√
2 +
√
2 j
(vii)
3
√
2
−
3
√
2
j (viii) −
√
2 −
√
2 j (ix)
√
3
2
- 3
2
j
(x) −
3
2
−
3
√
3
2
j (xi)
√
3
2
1
2
j (xii) −
3
√
3
2
−
3
2
j
- z 1 = 5 ( 1 +j
√
3 )/ 2 z 2 = 3 ( 1 +j)/√
2(i) 15 (ii) 5/ 3 (iii) 25(iv) 7π/ 12 (v) π/ 12 (vi) 2π/ 3- (i) 6^
(
2 π
9)
(ii)3
2(
π
9)
(iii) 6^(
5 π
9)(iv) 2^(
−11 π
18)
(v)2
3(
2 π
9)
(vi)9
2(
11 π
18)15.(i) 16 (ii) − 64 (iii) − 64
16.(i)
√
2 e−jπ/^4 (ii) 2ejπ/^2 (iii) 2ejπ/^6 (iv) 3e−jπ/^2- (i)
1
2+√
3
2j (ii)√
3
2−1
2j (iii)e−^1 /^3
2−√
3 e−^1 /^3
2j(iv)√
3
2−1
2j (v)3
5√
2−1
5√
2j (vi)2√
3 + 1
10−2 −√
3
10j