Planar Vector

The quantity which is completely described by its magnitude with a unit (and a + or − sign) is called

The quantity that requires both magnitude and direction for its complete description is called

Which of the following is a scalar quantity?

Which of the following is a vector quantity?

Which of the following is NOT a vector quantity?

Which of the following is NOT a scalar quantity?

Consider the following:

Consider the following:

A straight line one of whose ends is termed the initial point and the other the terminal point is called

The length of the vector $\vec{AB}$ is denoted by

The direction of the vector $\vec{AB}$ is

Geometric vectors are

The unending straight line containing a given vector is called

Two vectors $\vec{u}$ and $\vec{v}$ are equal if

$\vec{v}$ is the opposite vector of $\vec{u}$ if

If $\vec{u}=\vec{AB}$, then $-\vec{u}=$

If $\vec{v}$ and $\vec{w}$ are both opposite vectors of $\vec{u}$, then

Two vectors are said to be parallel if

If $\vec{AB}=\vec{u}$ and $\vec{BC}=\vec{v}$, then $\vec{u}+\vec{v}=$

The triangle law of vector addition is applicable when

By the parallelogram law, the resultant of two vectors is denoted by

When two vectors are parallel, which law of addition is applicable?

The sum of two or more vectors is also called their

In parallelogram OACB, if $\vec{OA}=\vec{u}$ and $\vec{OB}=\vec{v}$, then $\vec{OC}=$

$\vec{u}-\vec{v}=$

$\vec{AB}-\vec{AC}=$

If $\vec{u}=\vec{AB}$ and $\vec{v}=\vec{AC}$, then $\vec{u}-\vec{v}=$

A vector whose absolute value is zero and direction cannot be determined is called

The direction of a zero vector

$\vec{u}+(-\vec{u})=$

$\vec{u}+\vec{0}=$

$\vec{AA}$ is a

The commutative law for vector addition states

The associative law for vector addition is

By the cancellation law, if $\vec{u}+\vec{v}=\vec{u}+\vec{w}$, then

The sum of three vectors represented by the three sides of a triangle taken in the same order is

In $\triangle ABC$, $\vec{AB}+\vec{BC}+\vec{CA}=$

If $m=0$, then $m\vec{u}=$

If $m\neq 0$, the length of $m\vec{u}$ is

If $m>0$, the direction of $m\vec{u}$ is

If $m<0$, the direction of $m\vec{u}$ is

$1\cdot\vec{u}=$

$(-1)\vec{u}=$

$m(n\vec{u})=$

Three points A, B, C are collinear if and only if $\vec{AC}$ is

$(m+n)\vec{u}=$

$m(\vec{u}+\vec{v})=$

A vector whose length is 1 unit is called

If support lines of two vectors are same or parallel and their directions are alike, the vectors are called

For a non-zero vector $\vec{a}$, $\frac{1}{|\vec{a}|}\vec{a}$ is

The position vector of point P with respect to origin O is

If $\vec{OA}=\vec{a}$ and $\vec{OB}=\vec{b}$, then $\vec{AB}=$

The fixed reference point in a position-vector system is called the

$-(-\vec{a})=$

Which of the following are equal to $(-m)\vec{a}$?

ABCD is a parallelogram with diagonals AC and BD. $\vec{AC}=$

ABCD is a parallelogram. $\vec{BD}=$

ABCD is a parallelogram with diagonals AC and BD. $\vec{AB}=$

ABCD is a parallelogram with diagonals AC and BD. $\vec{AD}=$

In $\triangle ABC$, D and E are the midpoints of AB and AC respectively. Then $DE=$

The diagonals of a parallelogram

The straight lines joining the midpoints of the adjacent sides of a quadrilateral form a

If two vectors are parallel

Which of the following is true if $|\vec{AB}|=|\vec{CD}|$ and $\vec{AB}\parallel\vec{CD}$ (with same direction)?

Which of the following is true in $\triangle ABC$?

ABCD is a parallelogram with diagonals AC and BD. Then $\vec{AC}+\vec{BD}=$

ABCD is a parallelogram with diagonals AC and BD. Then $\vec{AC}-\vec{BD}=$

ABCD is a parallelogram with diagonals AC and BD. Express $\vec{AB}$ in terms of $\vec{AD}$ and $\vec{BD}$.

$-(\vec{a}+\vec{b})=$

If $\vec{a}+\vec{b}=\vec{c}$, then $\vec{a}=$

$\vec{a}+\vec{a}=$

$(m-n)\vec{a}=$

$m(\vec{a}-\vec{b})=$

The straight line drawn from the midpoint of one side of a triangle parallel to another side passes through

If the diagonals of a quadrilateral bisect each other, the quadrilateral must be a

In a trapezium with parallel sides of lengths $p$ and $q$, the line joining the midpoints of the non-parallel sides is parallel to them and has length

In a trapezium with parallel sides of lengths $p$ and $q$ ($p>q$), the line joining the midpoints of the diagonals is parallel to the parallel sides and has length

If $\vec{a}, \vec{b}$ are non-zero non-parallel vectors and $m\vec{a}+n\vec{b}=\vec{0}$, which of the following is correct?

If $\vec{AB}\parallel\vec{DC}$, then

P and Q are the midpoints of AB and DC respectively, and $AD\parallel BC$. The position vectors of A, B, C, D are $\vec{a}, \vec{b}, \vec{c}, \vec{d}$ respectively. The position vector of P is

With the configuration in Q80, $\vec{PQ}=$

In $\triangle ABC$, D and E are the midpoints of AB and AC respectively. Then $\vec{AD}+\vec{DE}=$

D, E are midpoints of AB, AC of $\triangle ABC$. M, N are midpoints of the diagonals of trapezium BCED. Then $MN=$

D, E, F are the midpoints of sides BC, CA, AB of $\triangle ABC$ respectively. Then $\vec{AD}+\vec{BE}+\vec{CF}=$

D, E, F are the midpoints of sides BC, CA, AB of $\triangle ABC$ respectively. The straight line through F parallel to BC must pass through

For non-zero vectors $\vec{a}$ and $\vec{b}$, the relation $\vec{a}=m\vec{b}$ holds if and only if

If $\vec{a}, \vec{b}, \vec{c}, \vec{d}$ are the position vectors of A, B, C, D respectively, then ABCD is a parallelogram if and only if

In $\triangle ABC$, D is the midpoint of BC. Then $\vec{AB}+\vec{AC}=$

$\vec{u}$ and $\vec{v}$ are opposite vectors when