question_answer1) The vector projection of a vector \[3\hat{i}+4\hat{k}\]on y-axis is [RPMT 2004]
A) 5 done clear
B) 4 done clear
C) 3 done clear
D) Zero done clear
View Solution play_arrowA) \[3\hat{i}+5\hat{j}+2\hat{k}\] done clear
B) \[3\hat{i}+2\hat{j}+5\hat{k}\] done clear
C) \[5\hat{i}+3\hat{j}+2\hat{k}\] done clear
D) None of these done clear
View Solution play_arrowA) \[\hat{i}+\hat{j}+10\hat{k}\] done clear
B) \[\hat{i}+\hat{j}+5\hat{k}\] done clear
C) \[\hat{i}+\hat{j}\] done clear
D) \[2\hat{i}+4\hat{j}+6\hat{k}\] done clear
View Solution play_arrowA) 10 N done clear
B) 3 N done clear
C) 4 N done clear
D) 2.5 N done clear
View Solution play_arrowA) \[5\hat{i}+20\hat{j}\] done clear
B) \[15\hat{i}+10\hat{j}\] done clear
C) \[20\hat{i}+15\hat{j}\] done clear
D) \[15\hat{i}+20\hat{j}\] done clear
View Solution play_arrowA) \[\frac{A}{\sqrt{3}}\] done clear
B) \[\frac{A}{\sqrt{2}}\] done clear
C) \[\sqrt{3}\,A\] done clear
D) \[\frac{\sqrt{3}}{A}\] done clear
View Solution play_arrowA) \[\frac{2}{\sqrt{45}},\frac{4}{\sqrt{45}}\,\text{and}\,\frac{-\,\text{5}}{\sqrt{\text{45}}}\] done clear
B) \[\frac{1}{\sqrt{45}},\frac{2}{\sqrt{45}}\,\text{and}\,\frac{\text{3}}{\sqrt{\text{45}}}\] done clear
C) \[\frac{4}{\sqrt{45}},\,0\,\text{and}\,\frac{\text{4}}{\sqrt{45}}\] done clear
D) \[\frac{3}{\sqrt{45}},\frac{2}{\sqrt{45}}\,\text{and}\,\frac{\text{5}}{\sqrt{\text{45}}}\] done clear
View Solution play_arrowA) \[4\hat{i}+2\hat{j}+5\hat{k}\] done clear
B) \[-4\hat{i}-2\hat{j}+5\hat{k}\] done clear
C) \[3\hat{i}+4\hat{j}+5\hat{k}\] done clear
D) Null vector done clear
View Solution play_arrowA) 2 done clear
B) 3 done clear
C) 4 done clear
D) 5 done clear
View Solution play_arrowA) 17 m done clear
B) 26 m done clear
C) 36 m done clear
D) 20 m done clear
View Solution play_arrowA) 1000 N done clear
B) 500 N done clear
C) 250 N done clear
D) Zero done clear
View Solution play_arrowA) 6 done clear
B) \[5\sqrt{2}\] done clear
C) 4 done clear
D) \[2\sqrt{10}\] done clear
View Solution play_arrowA) Unit vector done clear
B) Null vector done clear
C) Vector of magnitude \[\sqrt{2}\] done clear
D) Scalar done clear
View Solution play_arrowA) \[{{\tan }^{-1}}3/2\] done clear
B) \[{{\tan }^{-1}}2/3\] done clear
C) \[{{\sin }^{-1}}2/3\] done clear
D) \[{{\cos }^{-1}}2/3\] done clear
View Solution play_arrowquestion_answer15) The unit vector along \[\hat{i}+\hat{j}\] is
A) \[\hat{k}\] done clear
B) \[\hat{i}+\hat{j}\] done clear
C) \[\frac{\hat{i}+\hat{j}}{\sqrt{2}}\] done clear
D) \[\frac{\hat{i}+\hat{j}}{2}\] done clear
View Solution play_arrowA) 2 done clear
B) \[\sqrt{14}\] done clear
C) \[\sqrt{10}\] done clear
D) \[\sqrt{5}\] done clear
View Solution play_arrowA) Zero done clear
B) 10 N done clear
C) 20 N done clear
D) \[10\sqrt{2}N\] done clear
View Solution play_arrowA) \[\text{9}0{}^\circ \] done clear
B) \[\text{45}{}^\circ \] done clear
C) \[\text{22}.\text{5}{}^\circ \] done clear
D) \[\text{3}0{}^\circ \] done clear
View Solution play_arrowquestion_answer19) Any vector in an arbitrary direction can always be replaced by two (or three)
A) Parallel vectors which have the original vector as their resultant done clear
B) Mutually perpendicular vectors which have the original vector as their resultant done clear
C) Arbitrary vectors which have the original vector as their resultant done clear
D) It is not possible to resolve a vector done clear
View Solution play_arrowquestion_answer20) Angular momentum is [MNR 1986]
A) A scalar done clear
B) A polar vector done clear
C) An axial vector done clear
D) None of these done clear
View Solution play_arrowquestion_answer21) Which of the following is a vector
A) Pressure done clear
B) Surface tension done clear
C) Moment of inertia done clear
D) None of these done clear
View Solution play_arrowquestion_answer22) If \[\vec{P}=\vec{Q}\]then which of the following is NOT correct
A) \[\hat{P}=\hat{Q}\] done clear
B) \[|\,\vec{P}\,|\,=\,|\,\vec{Q}\,|\] done clear
C) \[P\hat{Q}=Q\hat{P}\] done clear
D) \[\vec{P}+\vec{Q}=\hat{P}+\hat{Q}\] done clear
View Solution play_arrowA) Parallel to the position vector done clear
B) Perpendicular to the position vector done clear
C) Directed towards the origin done clear
D) Directed away from the origin done clear
View Solution play_arrowquestion_answer24) Which of the following is a scalar quantity [AFMC 1998]
A) Displacement done clear
B) Electric field done clear
C) Acceleration done clear
D) Work done clear
View Solution play_arrowA) 1 done clear
B) \[\sqrt{0.11}\] done clear
C) \[\sqrt{0.01}\] done clear
D) \[\sqrt{0.39}\] done clear
View Solution play_arrowA) He has travelled a distance of 700 m done clear
B) His displacement is 700 m done clear
C) His displacement is 500 m done clear
D) His velocity is not uniform throughout the walk done clear
View Solution play_arrowA) \[\frac{1}{7}(3\hat{i}+6\hat{j}-2\hat{k})\] done clear
B) \[\frac{1}{7}(3\hat{i}+6\hat{j}+2\hat{k})\] done clear
C) \[\frac{1}{49}(3\hat{i}+6\hat{j}-2\hat{k})\] done clear
D) \[\frac{1}{49}(3\hat{i}-6\hat{j}+2\hat{k})\] done clear
View Solution play_arrowquestion_answer28) Surface area is [J&K CET 2002]
A) Scalar done clear
B) Vector done clear
C) Neither scalar nor vector done clear
D) Both scalar and vector done clear
View Solution play_arrowA) \[\hat{r}=\frac{1}{\sqrt{3}}(\hat{i}+\hat{j}-\hat{k})\] done clear
B) \[\hat{r}=\frac{1}{\sqrt{2}}(\hat{i}+\hat{j}-\hat{k})\] done clear
C) \[\hat{r}=\frac{1}{3}(\hat{i}-\hat{j}+\hat{k})\] done clear
D) \[\hat{r}=\frac{1}{\sqrt{2}}(\hat{i}+\hat{j}+\hat{k})\] done clear
View Solution play_arrowA) 60? done clear
B) Zero done clear
C) 90? done clear
D) None of these done clear
View Solution play_arrowA) 500 m done clear
B) 300 m done clear
C) 150 m done clear
D) 100 m done clear
View Solution play_arrowA) \[\frac{24\hat{i}+5\hat{j}}{13}\] done clear
B) \[\frac{12\hat{i}+5\hat{j}}{13}\] done clear
C) \[\frac{6\hat{i}+5\hat{j}}{13}\] done clear
D) None of these done clear
View Solution play_arrowA) \[\frac{5}{\sqrt{2}}\] done clear
B) \[10\sqrt{2}\] done clear
C) \[5\sqrt{2}\] done clear
D) 5 done clear
View Solution play_arrowA) \[\text{9}0{}^\circ \] done clear
B) \[0{}^\circ \] done clear
C) \[\text{6}0{}^\circ \] done clear
D) \[\text{45}{}^\circ \] done clear
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