निम्नलिखित का संयुग्मी और मॉडुलस ज्ञात कीजिए:
`bar(2+3i)+(bar(5i+4i^(3)))+(6i-7i^(4))`

Verify that bar((2+3i)(1-2i)) = bar((2+3i)) bar( (1-2i))

if z = 3+i+9i^(2) -6i^(3) " then " (bar(z^(-1))) is

if z = 3+i+9i^(2) -6i^(3) " then " (bar(z^(-1))) is

Write in the rectangular form bar((5 + 9i) + (2-4i))

if z = 2 + i + 4i^(2) -6i^(3) then verify that (i) (bar(z^(2)) = (barz)^(2))

if z = 2 + i + 4i^(2) -6i^(3) then verify that (i) (bar(z^(2)) = (barz)^(2))

Compute 2 bar(j) xx (3bar(i) - 4bar(k)) + (bar(i)+2bar(j)) xx bar(k) .

Find the distance between the planes bar(r) * ( 2 bar(i) - bar(j) + 3 bar(k)) = 4 and bar(r) * ( 6 bar(i) - 3 bar(j) + 9 bar(k)) + 13 = 0

bar (a) = 2bar (i) + 3bar (j) -bar (k), bar (b) = bar (i) + 2bar (j) -4bar (k), bar (c) = bar (i) + bar (j) + bar (k), bar (d) = bar (i) -bar (j) -bar (k) then