Question
Mark the correct statementa. $|\vec{a}+\vec{b}| \geq|\vec{a}|+|\vec{b}|$b. $|\vec{a}+\vec{b}| \leq|\vec{a}|+|\vec{b}|$c. $|\vec{a}-\vec{b}| \geq|\vec{a}|+|\vec{b}|$d. All of the above
Step 1
In terms of vectors, this can be written as: \[|\vec{a}+\vec{b}| \leq |\vec{a}|+|\vec{b}|\] Show more…
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Key Concepts
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Mark the correct statement (A) $|\vec{a}+\vec{b}| \geq|\vec{a}|+|\vec{b}|$ (B) $|\vec{a}+\vec{b}| \leq|\vec{a}|+|\vec{b}|$ (C) $|\vec{a}-\vec{b}| \geq|\vec{a}|+|\vec{b}|$ (D) All of the above
If $\mathbf{A}=\mathbf{B}$, then which of the following is not correct? (a) $\hat{\mathrm{A}}=\hat{\mathrm{B}}$ (b) $\hat{\mathrm{A}} \cdot \hat{\mathrm{B}}=A B$ (c) $|\mathrm{A}|=|\mathrm{B}|$ (d) $A \hat{B} \| B \hat{A}$
Vector Analysis
Round 1
Given that $\vec{A}+\vec{B}+\vec{C}=0$. Which of the following options is correct? (a) $|\vec{A}|+|\vec{B}|=|\vec{C}|$ (b) $|\vec{A}+\vec{B}|=|\vec{C}|$ (c) $|\vec{A}|-|\vec{B}|=|\vec{C}|$ (d) $|\vec{A}-\vec{B}|=|\vec{C}|$
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