SATHEE: Kinematics Question 286

Kinematics Question 286

Question: The position vectors of points A, B, C and D are $A = 3 \hat{i} + 4 \hat{j} + 5 \hat{k}, B = 4 \hat{i} + 5 \hat{j} + 6 \hat{k}, C = 7 \hat{i} + 9 \hat{j} + 3 \hat{k}$ and $D = 4 \hat{i} + 6 \hat{j}$ then the displacement vectors AB and CD are

Options:

A) Perpendicular

B) Parallel

C) Antiparallel

D) Inclined at an angle of $60^{\circ}$

Show Answer

Answer:

Correct Answer: D

Solution:

$\vec{A B} = (4 \hat{i} + 5 \hat{j} + 6 \hat{k}) - (3 \hat{i} + 4 \hat{j} + 5 \hat{k})$ = $\hat{i} + \hat{j} + \hat{k}$

$\vec{C D} = (4 \hat{i} + 6 \hat{j}) - (7 \hat{i} + 9 \hat{j} + 3 \hat{k})$

$= - 3 \hat{i} - 3 \hat{j} - 3 \hat{k}$

$\vec{A B}$ and $\vec{C D}$ are parallel, because it’s cross-products it’s 0.

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Kinematics Question 286

Question: The position vectors of points A, B, C and D are $A = 3 \hat{i} + 4 \hat{j} + 5 \hat{k}, B = 4 \hat{i} + 5 \hat{j} + 6 \hat{k}, C = 7 \hat{i} + 9 \hat{j} + 3 \hat{k}$ and $D = 4 \hat{i} + 6 \hat{j}$ then the displacement vectors AB and CD are

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Kinematics Question 286

Question: The position vectors of points A, B, C and D are A=3i^+4j^+5k^,B=4i^+5j^+6k^,C=7i^+9j^+3k^ and D=4i^+6j^ then the displacement vectors AB and CD are

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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Question: The position vectors of points A, B, C and D are $A = 3 \hat{i} + 4 \hat{j} + 5 \hat{k}, B = 4 \hat{i} + 5 \hat{j} + 6 \hat{k}, C = 7 \hat{i} + 9 \hat{j} + 3 \hat{k}$ and $D = 4 \hat{i} + 6 \hat{j}$ then the displacement vectors AB and CD are