EXERCISE 6.4

EXERCISE . . Find the non-parametric form of vector equation and Cartesian equations of the straight line passing through the point with position vector and parallel to the vector . Find the parametric form of vector equation and Cartesian equations of the straight line passing through the point ( , , ) and parallel to the straight line . Find the points where the straight line passes through ( , , ) and ( , , ) cuts the xz and yz planes. . Find the direction cosines of the straight line passing through the points ( , , ) and ( , , ) . Also, find the parametric form of vector equation and Cartesian equations of the straight line passing through two given points. . Find the acute angle between the following lines. (i) ( ), ) ) t i s −− (ii) ( (iii) = − and . The vertices of ABC ∆ are ( , , ), ( , , ) B , and ( , , ) C . Find ABC ∠ . If the straight line joining the points ( , , ) and ( , , ) a − is parallel to the line joining the points ( , , ) b − and ( , , ) , find the values of a and b . . If the straight lines m and x m + = − are perpendicular to each other, find the value of m . . Show that the points ( , , ),( , , ) and ( , , ) are collinear. Vector - -