TS EAMCET Vectors — practice questions
68 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAMCET Vectors in the app →Which of the following is a **vector** quantity?The magnitude of the zero (null) vector $\vec 0$ is:A unit vector along a non-zero vector $\vec a$ is given by:$\overrightarrow{PQ} + \overrightarrow{QR}$ equals (triangle law of addition):The magnitude of the vector $\vec a = 4\hat i + 0\hat j + 3\hat k$ is:The position vector of the **midpoint** of the segment joining points with position vectors $\vec a$ and $\vecThe triangle inequality for vectors states:If $\vec{PQ} = \vec a$, then $\vec{QP}$ equals:The position vector of the **centroid** of triangle with vertices $A(\vec a),\ B(\vec b),\ C(\vec c)$ is:Two non-zero vectors $\vec a$ and $\vec b$ are **collinear** (parallel) if and only if there exists a non-zeroVector $\vec a$ is directed due north with $|\vec a| = 24$ and vector $\vec b$ is directed due west with $|\veThe distance from the point $P(2, 3, 4)$ to the **x-axis** is:The point dividing the line segment joining $A(2, -6, 8)$ and $B(-1, 3, -4)$ internally in ratio $1:3$ has cooIf $\vec a = 4\hat i + 3\hat k$ and $\vec b = -2\hat i + \hat j + 5\hat k$, then $2\vec a + 5\vec b$ equals:Vectors $\vec a = \hat i - 2\hat j + 3\hat k$ and $\vec b = 3\hat i - 6\hat j + 9\hat k$ are:The position vector of the centroid of the **tetrahedron** with vertices $A(\vec a), B(\vec b), C(\vec c), D(\If vectors $2\hat i - q\hat j + 3\hat k$ and $4\hat i - 5\hat j + 6\hat k$ are collinear, then $q$ equals:Vector $\vec{AB} = 2\hat i - 4\hat j + 7\hat k$ has initial point $A(1, 5, 0)$. The terminal point $B$ has cooFind a unit vector in the direction of $\vec a = \hat i - 2\hat j$:Find the value of $\lambda$ and $\mu$ if the non-zero, non-collinear vectors $\vec a$ and $\vec b$ satisfy $\vVector $4\hat i + 13\hat j - 18\hat k$ expressed as a linear combination of $\hat i - 2\hat j + 3\hat k$ and $If $\vec a, \vec b, \vec c$ are the position vectors of $A, B, C$ and $5\vec a - 3\vec b - 2\vec c = \vec 0$, If $G(a, 2, -1)$ is the centroid of the triangle with vertices $P(1, 3, 2),\ Q(3, b, -4),\ R(5, 1, c)$, then $The centroid of the tetrahedron with vertices $A(3, -5, 7),\ B(5, 4, 2),\ C(7, -7, -3),\ D(1, 0, 2)$ is:If $A(0, 3, 0), B(0, 0, 4), C(0, 3, 4)$ are vertices of a triangle, the position vector of its **incentre** isPoints $A(3, 2, p), B(q, 8, -10), C(-2, -3, 1)$ are collinear. The values of $p$ and $q$ are:What is the sum of the vectors (1, 2, 3) and (-2, 0, 4)?Which statement states the commutative law of vector addition?Which identity shows that vector addition is associative?Adding the zero vector to any vector a gives which result?The vector obtained by adding a and b is also called their what?A unit vector has a magnitude of how much?Find the unit vector along 3i + 4j.Multiplying a vector by the scalar -1 changes its direction by what angle?When are two vectors said to be equal?A vector whose initial and terminal points are of no importance is called what?What can be said about the direction of the zero vector?What is the magnitude of i + j, the sum of two perpendicular unit vectors?To find a - b geometrically with both tails at one point, the arrow a - b runs from where?Which law states that r(a + b) = ra + rb for a scalar r?Which one of these physical quantities is a vector?A scalar differs from a vector because a scalar lacks what?Vectors a and b point the same way with |a| = 3 and |b| = 4. What is |a + b|?Perpendicular vectors a and b have |a| = 6 and |b| = 8. What is |a + b|?Two vectors have magnitudes 5 and 12. What is the largest possible magnitude of their sum?A 3 N force acts east and a 4 N force acts north on a body. What is the resultant magnitude?A walker goes 6 km east and then 8 km north. What is the magnitude of the displacement?In terms of position vectors from origin O, the vector AB equals what?For any triangle ABC, the sum of vectors AB and BC equals which vector?For a triangle ABC, what is AB + BC + CA?Dividing a vector by its own length is known as what?Which vector cannot be normalized?Which scalar times (2, -4) gives (-1, 2)?Two vectors are parallel when they have which direction relation?Two vectors that point the same way but may differ in length are called what?If (a, 2, 3) = (4, 2, b), what is a + b?A vector that has a definite initial point and terminal point is called what?If |a| = 4, what is the magnitude of -3a?Two unit vectors point in exactly opposite directions. What is their sum?Two forces of equal magnitude F act at right angles. What is the resultant magnitude?Which rule describes a and b as the sides of a parallelogram with a + b as a diagonal?The vector b - a is equal to which of the following?In three-dimensional space, how many scalar components identify a vector?The standard basis vectors i, j and k point along which directions?Which vector must be added to (4, -3) to obtain the zero vector?Find the resultant of 2i + 3j and 4i - 3j.If a = (2, 3, -1), b = (x, 1, y) and a + b = (5, 4, 2), what is x + y?A boat heads north at 3 m/s while the current flows east at 4 m/s. What is its resultant speed?