New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

Vector Algebra

38 questions · Physics · JEE Main

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Main
Physics
Vector Algebra

Vector Algebra

38 questions · Physics · JEE Main

Two particles are located at equal distance from origin. The position vectors of those are represented by $A = 2 \hat{i} + 3 n \hat{j} + 2 \hat{k}$ and $\overset{ˉ}{B} = 2 \hat{i} - 2 \hat{j} + 4 p \hat{k}$ , respectively. If both the vectors are at…2025 · 23 Jan · Shift 1 · Q71 · Numerical
The angle between vector $Q$ and the resultant of $(2 Q + 2 P)$ and $(2 Q - 2 P)$ is :2024 · 5 Apr · Shift 1 · Q78 · MCQ
For three vectors $A = (- x \hat{i} - 6 \hat{j} - 2 \hat{k}), B = (- \hat{i} + 4 \hat{j} + 3 \hat{k})$ and $C = (- 8 \hat{i} - \hat{j} + 3 \hat{k})$ , if $A \cdot (B \times C) = 0$ , then value of $x$ is …2024 · 6 Apr · Shift 1 · Q86 · Numerical
Three vectors $OP, OQ$ and $OR$ each of magnitude $A$ are acting as shown in figure. The resultant of the three vectors is $A x$ . The… Includes diagram2024 · 8 Apr · Shift 1 · Q83 · Numerical
If $a$ and $b$ makes an angle $cos^{- 1} (\frac{5}{9})$ with each other, then $∣ a + b ∣ = 2 ∣ a - b ∣$ for $∣ a ∣ = n ∣ b ∣$ The integer value of $n$ is .2024 · 9 Apr · Shift 1 · Q84 · Numerical
The resultant of two vectors $A$ and $B$ is perpendicular to $A$ and its magnitude is half that of $B$ . The angle between vectors $A$ and $B$ is $^{\circ}$ .2024 · 9 Apr · Shift 2 · Q81 · Numerical
A vector has magnitude same as that of $A = 3 \hat{i} + 4 \hat{j}$ and is parallel to $B = 4 \hat{i} + 3 \hat{j}$ . The $x$ and $y$ components of this vector in first quadrant are $x$ and 3 respectively where…2024 · 30 Jan · Shift 2 · Q90 · Numerical
If two vectors $A$ and $B$ having equal magnitude $R$ are inclined at angle $θ$ , then2024 · 31 Jan · Shift 2 · Q67 · MCQ
Two forces having magnitude $A$ and $\frac{A}{2}$ are perpendicular to each other. The magnitude of their resultant is:2023 · 8 Apr · Shift 1 · Q56 · MCQ
When vector $A = 2 \hat{i} + 3 \hat{j} + 2 \hat{k}$ is subtracted from vector $B$ , it gives a vector equal to $2 \hat{j}$ . Then the magnitude of vector $B$ will be :2023 · 11 Apr · Shift 2 · Q57 · MCQ
A vector in $x - y$ plane makes an angle of $3 0^{\circ}$ with $y$ -axis. The magnitude of $y$ -component of vector is $23$ . The magnitude of $x$ -component of the vector will be :2023 · 15 Apr · Shift 1 · Q55 · MCQ
Vectors $a i + b j + k$ and $2 i - 3 j + 4 k$ are perpendicular to each other when $3 a + 2 b = 7$ , the ratio of $a$ to $b$ is $\frac{x}{2}$ . The value of $x$ is .2023 · 24 Jan · Shift 1 · Q65 · Numerical
If two vectors $P = i + 2 m j + m k$ and $Q = 4 i - 2 j + m k$ are perpendicular to each other. Then, the value of m will be :2023 · 24 Jan · Shift 2 · Q62 · MCQ
If $P = 3 i + 3 j + 2 k$ and $Q = 4 i + 3 j + 2.5 k$ then, the unit vector in the direction of $P \times Q$ …2023 · 25 Jan · Shift 1 · Q63 · Numerical
$A$ is a vector quantity such that $∣ A ∣$ = non-zero constant. Which of the following expression is true for $A$ ?2022 · 25 Jun · Shift 1 · Q45 · MCQ
Which of the following relations is true for two unit vector $A$ and $B$ making an angle $θ$ to each other?2022 · 25 Jun · Shift 1 · Q46 · MCQ
If $A = (2 \hat{i} + 3 \hat{j} - \hat{k}) m$ and $B = (\hat{i} + 2 \hat{j} + 2 \hat{k}) m$ . The magnitude of component of vector $A$ along vector $B$ will be $m$ .2022 · 26 Jul · Shift 2 · Q58 · Numerical
If the projection of $2 \hat{i} + 4 \hat{j} - 2 \hat{k}$ on $\hat{i} + 2 \hat{j} + α \hat{k}$ is zero. Then, the value of $α$ will be .2022 · 28 Jul · Shift 1 · Q64 · Numerical
Two vectors $A$ and $B$ have equal magnitudes. If magnitude of $A$ + $B$ is equal to two times the magnitude of $A - B$ , then the angle between $A$ …2022 · 29 Jun · Shift 1 · Q53 · MCQ
If $A$ and $B$ are two vectors satisfying the relation $A$ . $B$ = $A \times B$ . Then the value of $A - B$ …2021 · 20 Jul · Shift 1 · Q58 · MCQ
Two vectors $P$ and $Q$ have equal magnitudes. If the magnitude of $P + Q$ is n times the magnitude of $P - Q$ , then angle between $P$ …2021 · 20 Jul · Shift 2 · Q61 · MCQ
What will be the projection of vector $A = i + j + k$ on vector $B = i + j$ ?2021 · 22 Jul · Shift 2 · Q47 · MCQ
Three particles P, Q and R are moving along the vectors $A = i + j$ , $B = j + k$ and $C = - i + j$ respectively. They strike on a point…2021 · 22 Jul · Shift 2 · Q67 · Numerical
In an octagon ABCDEFGH of equal side, what is the sum of $A B + A C + A D + A E + A F + A G + A H$ , if, $A O = 2 i + 3 j - 4 k$ … Includes diagram2021 · 25 Feb · Shift 1 · Q61 · MCQ
If $P \times Q = Q \times P$ , the angle between $P$ and $Q$ is $θ$ (0 $^{\circ}$ < $θ$ < 360 $^{\circ}$ ). The value of ' $θ$ '…2021 · 25 Feb · Shift 2 · Q68 · Numerical
Match List - I with List - II Choose the correct answer from the options given below : Includes diagram2021 · 25 Jul · Shift 1 · Q51 · MCQ
Two vectors $X$ and $Y$ have equal magnitude. The magnitude of ( $X - Y$ ) is n times the magnitude of ( $X$ + $Y$ ). The angle between $X$ …2021 · 25 Jul · Shift 2 · Q63 · MCQ
The magnitude of vectors $O A$ , $O B$ and $O C$ in the given figure are equal. The direction of $O A$ + $O B - O C$ with x-axis will be : Includes diagram2021 · 26 Aug · Shift 1 · Q44 · MCQ
The angle between vector $(A)$ and $(A - B)$ is : Includes diagram2021 · 26 Aug · Shift 2 · Q50 · MCQ
The resultant of these forces $O P, O Q, O R, O S$ and $O T$ is approximately .......... N. [Take $3 = 1.7$ , $2 = 1.4$ Given $i$ … Includes diagram2021 · 27 Aug · Shift 1 · Q44 · MCQ
Assertion A : If A, B, C, D are four points on a semi-circular are with centre at 'O' such that $A B = B C = C D$ , then $A B + A C + A D = 4 A O + O B + O C$ … Includes diagram2021 · 27 Jul · Shift 1 · Q58 · MCQ
Statement I : Two forces $(P + Q)$ and $(P - Q)$ where $P ⊥ Q$ , when act at an angle $θ$ 1 to each…2021 · 31 Aug · Shift 2 · Q46 · MCQ
The sum of two forces $P$ and $Q$ is $R$ such that $R = P$ . The angle $θ$ (in degrees) that the resultant of 2 $P$ …2020 · 7 Jan · Shift 2 · Q40 · Numerical
Let $A_{1} \to = 3$ , $A_{2} \to = 5$ and $A_{1} \to + A_{2} \to = 5$ . The value of $(2 A_{1} \to + 3 A_{2} \to) (3 A_{1} \to - 2 A_{2} \to)$ …2019 · 8 Apr · Shift 2 · Q54 · MCQ
In the cube of side ‘a’ shown in the figure, the vector from the central point of the face ABOD to the central point of the face BEFO will be - Includes diagram2019 · 10 Jan · Shift 1 · Q62 · MCQ
Two vectors $A$ and $B$ have equal magnitudes. The magnitude of $(A + B)$ is 'n' times the magnitude of $(A - B)$ …2019 · 10 Jan · Shift 2 · Q70 · MCQ
Let $A$ = $(i + j)$ and, $B = (2 i - j) .$ The magnitude of a coplanar vector $C$ such that $A . C = B . C = A . B,$ …2018 · 16 Apr · Shift 1 · Q68 · MCQ
If $A \times B = B \times A$ , then the angle beetween A and B is2004 · Shift 0 · Q185 · MCQ