Solutions for MCQ CBSE 12 Science Maths Vector Algebra in English

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

Question 1 :  Find the direction cosines of the vector joining the points A(1, 2, -3) and B(-1, -2, 1) directed from B to A. (View Answer Video)

Question 2 : Find the unit vector in the direction of vector PQ, where P and Q are the points (1, 2, 3) and (4, 5, 6) respectively. (View Answer Video)

Question 3 : Find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5). (View Answer Video)

Question 4 : L and M are two points with position vectors and respectively. Write the position vectors of a point N which divides the line segment LM in the ratio 2:1 externally.   (View Answer Video)

Question 5 : Find the position vector of a point which divides the join of points with position vectors and externally in the ration 2:1.  (View Answer Video)

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

Probability

Question 1 : An insurance company insured 2,000 cyclists, 4,000 scooter drivers and 6,000 motorbike drivers. The probability of an accident involving a cyclist, scooter driver and a motorbike driver are 0.01, 0.03, and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver?     (View Answer Video)

Question 2 : A speaks truth in 75% of the cases, while B in 90% of the cases. In what percent of cases are they likely to contradict each other in stating the same fact? Do you think that statement of B is always true?     (View Answer Video)

Question 3 : Evaluate , if 2P(A)=P(B)= and =. (View Answer Video)

Question 4 : A speaks truth in 60% of the cases, while B in 90% of cases. In what percent of cases are they likely to contradict each other in stating the same fact? In the cases of contradiction do you think, the statement B will carry more weight as he speaks truth in more number of cases than A?    (View Answer Video)

Question 5 : A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20, 16, 18, 20, 17, 16, 19 and 20 years. One student is selected in such a manner that each has the same chance of being chosen and the age X of the selected student is recorded. What is the probability of the random variable X? Find the mean.   (View Answer Video)

Matrices

Question 1 : If , then find "a". (View Answer Video)

Question 2 : Matrices A and B will be inverse of each other only if : (View Answer Video)

Question 3 : Find the transpose of the matrix: . (View Answer Video)

Question 4 : Find the value of y, from the equation: .  (View Answer Video)

Question 5 : Given, , find the value of z. (View Answer Video)

Three Dimensional Geometry

Question 1 : A line passes through the point with position vector and makes angles and with x, y and z-axis respectively. Find the equation of the line in the Cartesian form. (View Answer Video)

Question 2 : Find the co-ordinates of the point where the line through the points (3, -4, -5) and (2, -3, 1) crosses the plane
2x + y + z = 7. (View Answer Video)

Question 3 : Find the angle between the lines whose direction ratios are a, b, c and b - c, c - a, a - b. (View Answer Video)

Question 4 : Find the distance of the point (-1, -5, -10) from the point of intersection of the line  and plane (View Answer Video)

Question 5 : Find the vector equation of the plane with intercepts 3, -4 and 2 on x, y and z-axis respectively. (View Answer Video)