CBSE Class 12 Vector Algebra — practice questions
46 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 12 Vector Algebra in the app →The magnitude of the vector $\vec a = 3\hat i + 4\hat j$ is:The dot product $\vec a\cdot\vec b$ of $\vec a = 2\hat i - \hat j + 3\hat k$ and $\vec b = \hat i + 4\hat j + The cross product $\vec a\times\vec b$ of two parallel non-zero vectors is:Three vectors $\vec a, \vec b, \vec c$ are coplanar if and only if:A quantity with magnitude as well as direction is a:Which of these is a scalar quantity?Which of these is a vector quantity?A vector whose initial and terminal points coincide is the:A vector of magnitude one is called a:The distance between initial and terminal points is the vector's:On a vector diagram, direction is shown by the:The unit vector along a given vector is written with which symbol?Adding vectors by completing a parallelogram is the:Vector addition where order does not matter is called:The additive identity for vectors is the:The vectors i, j and k each have magnitude:The vectors i, j and k lie along which axes?A vector joining two points is found by applying the:A directed line segment has magnitude and:The girl's net movement from A to C is represented by a:Where does a vector start, in the standard naming?Multiplying a vector by a scalar changes its:Which quantity in this list is NOT a vector?A unit vector is mainly used to show a vector's:Multiplying a vector by a scalar gives a result that is:A vector multiplied by a scalar stays collinear with the:A negative scalar multiplier gives a vector whose direction is:The magnitude of a scaled vector equals the original magnitude times the scalar's:Writing a vector as x i plus y j plus z k gives its:The numbers x, y and z in component form are also called:The section formula concerns a segment PQ divided by a third point in how many ways?A point dividing PQ between P and Q divides it:A point dividing PQ beyond the segment divides it:The projection of a vector on a line is itself a:The magnitude of the projection uses the cosine of the angle with the:The direction of the projection depends on the sign of the:Projection of a vector on a line is the dot product with the line's:The scalar product obeys laws that are:The scalar product is an operation that is:The vector product is an operation that is:The angle between two vectors can be found in terms of their:The cross product of two nonzero vectors is zero when they are:For mutually perpendicular unit vectors, i cross j equals:The area of a parallelogram with sides a and b uses the magnitude of their:The area of a triangle from its three vertices can be found using:The result a cross b is a: