CBSE Maths 12 Science MCQ Vector Algebra Solutions in English

Similar Questions from CBSE, 12th Science, Maths, Vector Algebra

Question 1 : If the vertices A, B, C of a triangle ABC have position vectors (1, 2, 3), (-1, 0, 0), (0, 1, 2) respectively then find <ABC (<ABC is the angle between the vectors BA and BC). (View Answer Video)

Question 2 : Find |x|, if for a unit vector a,(x - a).(x + a) = 12. (View Answer Video)

Question 3 : Find a vector in the direction of vector which has magnitude 8 unit. (View Answer Video)

Question 4 : Find the scalar and vector components of the vector with initial point (2, 1) and terminal point (-5, 7). (View Answer Video)

Question 5 : For given vectors,and find the unit vector in the direction of the vector a + b. (View Answer Video)

Questions from Other Chapters of CBSE, 12th Science, Maths

Relations and Functions

Question 1 :  Let   defined as f(x) = 5 be a constant function. Then its range is (View Answer Video)

Question 2 : If f and g two functions such that they are one-one then g o f is: (View Answer Video)

Question 3 :  If f(x) = ax + b and g(x) = cx + d, then f[g(x)] – g[f(x)] is equivalent to, (View Answer Video)

Question 4 : If  is a relation on N, write the range of R. (View Answer Video)

Question 5 : Let A = {1, 2, 3, 4} and let R = {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then, R is, (View Answer Video)

Three Dimensional Geometry

Question 1 : Find the co-ordinates of the point where the line through the points A(3, 4, 1) and B(5, 1, 6) crosses the XY-plane. Also find angle which this line makes with the XZ-plane. (View Answer Video)

Question 2 : Write the distance between the parallel planes 2x - y + 3z = 4 and 2x - y + 3z = 18. (View Answer Video)

Question 3 : Find the distance of the point    from the plane 3x + y - z + 2+0 measured parallel to the line  Also, find the foot of the perpendicular from the given point upon the given plane. (View Answer Video)

Question 4 : Find the distance of the point (-1, -5, -10) from the point of intersection of the line joining the points A(2, -1, 2) and B(5, 3, 4) with the plane x - y + z = 5. (View Answer Video)

Question 5 : If a line has the direction ratios -18, 12, -4, then what are its direction cosines? (View Answer Video)

Application of Integrals

Question 1 : Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B(4, 5) and C(6, 3). (View Answer Video)

Question 2 : Using the method of integration find the area bounded by the curve |x| + |y| = 1. (View Answer Video)

Question 3 : Using the method of integration, find the area of the region bounded by the lines 3x - 2y + 1 = 0, 2x + 3y -21 = 0 and x - 5y + 9 = 0. (View Answer Video)

Question 4 : Given that , for x = 0 to x = 20. Find f(x) and g(x) such that the area between f(x) and from x = 0 to x = 5 be and area between g(x) and from y = 0 to y = 5 be . Is = ? Like functions f and g which work is better, team work or individual work? (View Answer Video)

Question 5 : Find the area bounded by the curve y = sin x between x = 0 and  (View Answer Video)