Question
Resultant of three non-coplanar non-zero vectors $a, b$ and $c$(a) always lies in the plane containing $\vec{a}+\vec{b}$(b) always lies in the plane containing $\vec{a}-\vec{b}$(c) can be zero(d) cannot be zero
Step 1
Non-zero vectors are vectors whose magnitude is not zero. Non-coplanar vectors are vectors that do not lie in the same plane. Show more…
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Key Concepts
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Regarding vectors, which of the following is a correct statement? (a) 'lwo equal vectors can never qive zero resultant (b) 'l'hree non-coplanar vectors cannot give zeto resultant (c) If $\vec{a} \cdot(\vec{b} \times \vec{c})-0$ and $|\vec{a}| \neq|\vec{b}| \neq|\vec{c}|$, then $\vec{a}|\vec{b}| \vec{c}$ can never be a null vector
Vectors and Scalars
Section B
Three vectors $\mathbf{A}, \mathbf{B}$ and $\mathbf{C}$ add up to zero. Find which is false (a) $(A \times B) \times C$ is not zero unless $B, C$ are parallel (b) $(A \times B) \cdot C$ is not zero unless $B, C$ are parallel (c) If $A, B, C$ defined a plane, $(A \times B) \times C$ is in that plane (d) $(\mathrm{A} \times \mathrm{B}) \cdot \mathrm{C}=|\mathrm{A}||\mathrm{B}||\mathrm{C}| \rightarrow C^{2}=A^{2}+B^{2}$
Vector Analysis
Round 2
Two vectors $\vec{P}$ and $\vec{Q}$ lic in one plane. Vector $\vec{R}$ lies in a different plane. In such a case $\vec{P}+\vec{Q}+\vec{R}$ (a) can be $\%$ ero (b) cannot be $x \mathrm{co}$ (c) lies in the same plane as $\vec{P}$ or 0 (d) lies in the plane different from that of any of three vectors
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