If \(\overset { \rightarrow }{ a } =\overset { \wedge }{ i } +2\overset { \wedge }{ j } +3\overset { \wedge }{ k } \), \(\overset { \rightarrow }{ b } =-\overset { \wedge }{ i } +2\overset { \wedge }{ j } +\overset { \wedge }{ k } \) and \(\overset { \rightarrow }{ c } =3\overset { \wedge }{ i } +\overset { \wedge }{ j } \) find \(\frac { \lambda }{ c } \) such that \(\overset { \rightarrow }{ a } +\lambda \overset { \rightarrow }{ b } \) is perpendicular to \(\overset { \rightarrow }{ c } \)

A PHP Error was encountered

Severity: Warning

Message: A non-numeric value encountered

Filename: material/details.php

Line Number: 1002

()

-a

Find the area of the triangle whose vertices  are A(3, -1, 2) B(1, -1, -3) and C(4, -3, 1)

A PHP Error was encountered

Severity: Warning

Message: A non-numeric value encountered

Filename: material/details.php

Line Number: 1002

()

-c

Find the Cartesian equation of a line passing through the points A(2, -1, 3) and B(4, 2, 1)

A PHP Error was encountered

Severity: Warning

Message: A non-numeric value encountered

Filename: material/details.php

Line Number: 1002

()

-1

Find the parametric form of vector equation of the plane passing through the point (1, -1, 2) having 2, 3, 3 as direction ratios of normal to the plane.

A PHP Error was encountered

Severity: Warning

Message: A non-numeric value encountered

Filename: material/details.php

Line Number: 1002

()

2

Find the equation of the plane containing the line of intersection of the planes x + y + Z - 6 = 0 and 2x + 3y + 4z + 5 = 0 and passing through the point (1, 1, 1)

A PHP Error was encountered

Severity: Warning

Message: A non-numeric value encountered

Filename: material/details.php

Line Number: 1002

()

x = -1 is one root