Three coplanar vectors with respect to a rectangular coordinate system are a =4 i - j

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

Three coplanar vectors with respect to a rectangular coordinate system are a⃗=4i^−j^,b⃗=−3i^+2j^,andc⃗=−3j^.\vec{a}=4\hat{i}-\hat{j},\quad\vec{b}=-3\hat{i}+2\hat{j},\quad\text{and}\quad\vec{c}=-3\hat{j}. Find: (1) a⃗+b⃗+c⃗\vec{a}+\vec{b}+\vec{c} (2) a⃗+b⃗−c⃗\vec{a}+\vec{b}-\vec{c} (3) Find the angle between a⃗+b⃗+c⃗\vec{a}+\vec{b}+\vec{c} and a⃗+b⃗−c⃗\vec{a}+\vec{b}-\vec{c}.

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