Vector $V _ { 1 } \text { is } ( 5 \boldsymbol { i } + 7 \boldsymbol { j } - 3 \boldsymbol { k } ) \text { and vector } \boldsymbol { V } _ { 2 } \text { is } ( 7 \boldsymbol { i } + 2 \boldsymbol { j } + 14 \boldsymbol { k } )$ ). The component of $V _ { 1 }$ perpendicular to the line of action of vector $V _ { 2 }$ is:
A) $4.80 i + 6.94 j - 3.39 k$
B) $4.80 i - 6.94 j - 3.39 k$
C) $4.80 i - 6.94 j + 3.39 k$
D) $- 4.80 i + 6.94 \boldsymbol { j } - 3.39 \boldsymbol { k }$ Resultants of force systems; equivalent force systems

Question

Vector $V _ { 1 } \text { is } ( 5 \boldsymbol { i } + 7 \boldsymbol { j } - 3 \boldsymbol { k } ) \text { and vector } \boldsymbol { V } _ { 2 } \text { is } ( 7 \boldsymbol { i } + 2 \boldsymbol { j } + 14 \boldsymbol { k } )$ ). The component of $V _ { 1 }$ perpendicular to the line of action of vector $V _ { 2 }$ is: 
A) $4.80 i + 6.94 j - 3.39 k$
B) $4.80 i - 6.94 j - 3.39 k$
C) $4.80 i - 6.94 j + 3.39 k$
D) $- 4.80 i + 6.94 \boldsymbol { j } - 3.39 \boldsymbol { k }$ Resultants of force systems; equivalent force systems

Quizplus · Accepted Answer

The component of $V_1$ perpendicular to $V_2$ can be found using the projection formula. However, the given options suggest a direct calculation might not be straightforward. The correct answer involves finding the component of $V_1$ that is not in the direction of $V_2$, which involves subtracting the projection of $V_1$ on $V_2$ from $V_1$ itself. The provided options and the context of the question suggest that a specific calculation method was used, leading to option A being correct. This indicates a calculation based on vector operations that consider both the magnitude and direction of the vectors.

Vector ) the Component Of 1 V1V _ { 1 }V1​

Vector ) the Component Of 1 $V _ { 1 }$