TS EAPCET (Engineering) Euclidean Vector — practice questions
38 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAPCET (Engineering) Euclidean Vector in the app →Which of these quantities is described fully by a magnitude and a direction?The Latin word vector, from which the term comes, literally means what?A vector with a definite initial point and terminal point is called which kind?A vector for which only magnitude and direction matter, not its position, is called what?If a = (2, 3, 1) and b = (1, -1, 4), what is a + b?Which is the unit vector along the vector (0, 3, 4)?If a = (1, -2, 2), what is the vector 3a?Multiplying a vector by a negative scalar flips its direction by what angle?By the parallelogram rule, a + b is which part of the parallelogram on a and b?What is the direction of the zero vector?For any vector a, what does 0 + a equal, where 0 is the zero vector?What kind of quantity is the cross product a x b of two vectors?The area of a parallelogram with adjacent sides a and b is given by which expression?For the standard unit vectors, what is i x j?Which vector is opposite to a = (1, 2, 3)?For what value of k are (2, -1, 4) and (6, k, 12) parallel?Vectors a and b have |a| = 3 and |b| = 4. What is |a+b|^2 + |a-b|^2?Forces of 3 N and 4 N act at right angles on a body. What is the resultant?Forces of 6 N and 8 N act along one line in opposite directions. What is the resultant?What is the length of any unit vector?Normalizing a vector means doing what to it?Why can the zero vector not be normalized?The standard basis vectors i, j, k point along which directions?What is the magnitude of the vector from the origin to the point (2, 3)?Resolving a vector into components is not unique because it depends on what?With tails together, the vector a - b is drawn from where to where?In how many dimensions is the cross product meaningful?The direction of a x b is fixed so that a, b and a x b form which system?Edges (1, 0, 0), (0, 1, 0) and (0, 0, 3) form a box. What is its volume?Find the volume spanned by (1, 2, 3), (2, 4, 6) and (5, 1, 7).Whose Elements of Vector Analysis presented essentially the modern vector system?In 1835 Giusto Bellavitis introduced which vector-related concept?A rightward 15 N force, with the positive axis pointing leftward, is written as what?A parallelogram has sides 3 and 5. What is the sum of the squares of its diagonals?A parallelogram has sides 6 and 8 and one diagonal of 10. How long is the other diagonal?Which vector has magnitude 10 and the direction of 3i - 4j?What is the position vector of the midpoint of A(2, 4, 6) and B(4, 8, 10)?Point P divides OQ in ratio 1:2 from O, where Q = (3, 6, 9). Find P.