AP EAPCET (Engineering) Euclidean Vector — practice questions
47 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice AP EAPCET (Engineering) Euclidean Vector in the app →A vector is characterised by which pair of properties?Which of these physical quantities is a vector?Add the vectors (1, 2, 3) and (-2, 0, 4). What is the sum?For a = (2, 5) and b = (-3, 1), the resultant a + b equals what?If a = (5, 2, 1) and b = (2, 2, 3), what is a - b?Multiply the vector a = (1, -2, 4) by the scalar 3.A vector has components (3, 4). What is its length?What is the unit vector along (3, 4)?The sum a + b of two vectors is geometrically what, in the parallelogram they span?The tail of b is placed at the head of a. The resultant a + b runs from where to where?With the tails of a and b at one point, the vector a - b points from where?Adding the zero vector to any vector a gives what?What can be said about the direction of the zero vector?Multiplying a vector by -2 gives a vector that is how related to the original?The vector a - b can be written in which equivalent form?Which vector is opposite to (2, -3, 5)?Vectors with the same direction but possibly different lengths are called what?A vector divided by its own length becomes what kind of vector?Which vector cannot be normalized to a unit vector?Which identity holds for vectors a and b and any scalar r?A vector whose location does not matter, only size and direction, is called what?A vector with a definite initial point and terminal point is called what?Which mathematician's 1881 work presents essentially the modern system of vector analysis?In 1835, Giusto Bellavitis introduced which basic idea behind vectors?A rightward force of 15 N is taken on an axis whose positive side points left. What is it?Real numbers that rescale a vector are called what?The dot product of two vectors gives which kind of quantity?The cross product is meaningful in which dimensions?The dot product of a and b equals |a||b| times which function of the angle?Find the dot product of (1, 2, 3) and (4, -5, 6).The vectors (2, 3) and (3, -2) are related how?The magnitude of a vector equals the square root of what?Two forces of 5 N and 7 N act along the same direction. What is the resultant?Two vectors of magnitude 10 meet at 120 degrees. What is the resultant magnitude?Vectors of magnitude 3 and 4 are added. What is the smallest possible resultant?Three vectors form a closed triangle when placed head to tail. Their sum is what?Find the sum (1, 0) + (0, 1) + (-1, -1).How is a unit vector often marked in notation?Another name for the length of a vector is what?Find the vector from A(2, 3, 1) to B(5, 1, 4).Which vector is parallel to (1, 2, 3) in the same direction?For what value of k is (k, 2) parallel to (3, 6)?For what value of k are (k, 3) and (2, -4) perpendicular?The sum of a vector a and its opposite -a is what?For any two vectors, a + b always equals what?Forces of 3 N east and 4 N north act together. What is the resultant size?A walker goes 3 m east then 4 m west. What is the net displacement?