{ localUrl: '../page/6q9.html', arbitalUrl: 'https://arbital.com/p/6q9', rawJsonUrl: '../raw/6q9.json', likeableId: '0', likeableType: 'page', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], pageId: '6q9', edit: '1', editSummary: '', prevEdit: '0', currentEdit: '1', wasPublished: 'true', type: 'comment', title: '"Maybe insert an equation style definition of th..."', clickbait: '', textLength: '199', alias: '6q9', externalUrl: '', sortChildrenBy: 'recentFirst', hasVote: 'false', voteType: '', votesAnonymous: 'false', editCreatorId: 'ChrisHolden', editCreatedAt: '2016-12-05 22:02:09', pageCreatorId: 'ChrisHolden', pageCreatedAt: '2016-12-05 22:02:09', seeDomainId: '0', editDomainId: '1522', submitToDomainId: '0', isAutosave: 'false', isSnapshot: 'false', isLiveEdit: 'true', isMinorEdit: 'false', indirectTeacher: 'false', todoCount: '0', isEditorComment: 'false', isApprovedComment: 'false', isResolved: 'false', snapshotText: '', anchorContext: 'This fact also gives us a way to ignore the magnitude, and just focus on the direction of a vector\\. We can scale a vector by the inverse of its magnitude to get a vector with magnitude 1 with the same direction, called ${\\bf \\hat v}$\\. $$|\\mathbf{\\hat v}| = \\left|\\frac{\\mathbf{v}}{|\\mathbf{v}|}\\right| = \\left|\\frac{1}{|\\mathbf{v}|}\\right||\\mathbf{v}| = \\frac{|\\mathbf{v}|}{|\\mathbf{v}|}=1$$', anchorText: ' ${\\bf \\hat v}$\\.', anchorOffset: '219', mergedInto: '', isDeleted: 'false', viewCount: '73', text: 'Maybe insert an equation style definition of the unit vector here, before showing that it has magnitude 1.\n\n$\\hat{\\mathbf v} = \\frac{1}{| \\mathbf v |}\\mathbf v = \\frac{\\mathbf v}{| \\mathbf v |}$.', metaText: '', isTextLoaded: 'true', isSubscribedToDiscussion: 'false', isSubscribedToUser: 'false', isSubscribedAsMaintainer: 'false', discussionSubscriberCount: '2', maintainerCount: '2', userSubscriberCount: '0', lastVisit: '', hasDraft: 'false', votes: [], voteSummary: 'null', muVoteSummary: '0', voteScaling: '0', currentUserVote: '-2', voteCount: '0', lockedVoteType: '', maxEditEver: '0', redLinkCount: '0', lockedBy: '', lockedUntil: '', nextPageId: '', prevPageId: '', usedAsMastery: 'false', proposalEditNum: '0', permissions: { edit: { has: 'false', reason: 'You don't have domain permission to edit this page' }, proposeEdit: { has: 'true', reason: '' }, delete: { has: 'false', reason: 'You don't have domain permission to delete this page' }, comment: { has: 'false', reason: 'You can't comment in this domain because you are not a member' }, proposeComment: { has: 'true', reason: '' } }, summaries: {}, creatorIds: [ 'ChrisHolden' ], childIds: [], parentIds: [ 'vector_arithmetic' ], commentIds: [ '6tp' ], questionIds: [], tagIds: [], relatedIds: [], markIds: [], explanations: [], learnMore: [], requirements: [], subjects: [], lenses: [], lensParentId: '', pathPages: [], learnMoreTaughtMap: {}, learnMoreCoveredMap: {}, learnMoreRequiredMap: {}, editHistory: {}, domainSubmissions: {}, answers: [], answerCount: '0', commentCount: '0', newCommentCount: '0', linkedMarkCount: '0', changeLogs: [ { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '20597', pageId: '6q9', userId: 'ChrisHolden', edit: '1', type: 'newEdit', createdAt: '2016-12-05 22:02:09', auxPageId: '', oldSettingsValue: '', newSettingsValue: '' } ], feedSubmissions: [], searchStrings: {}, hasChildren: 'false', hasParents: 'true', redAliases: {}, improvementTagIds: [], nonMetaTagIds: [], todos: [], slowDownMap: 'null', speedUpMap: 'null', arcPageIds: 'null', contentRequests: {} }