Question

what is the notation of vector​

Answer 1

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Tᴏ ᴅᴇɴᴏᴛᴇ ᴠᴇᴄᴛᴏʀs, ᴀʀʀᴏᴡs ᴀʀᴇ ᴍᴀʀᴋᴇᴅ ᴀʙᴏᴠᴇ ᴛʜᴇ ʀᴇᴘʀᴇsᴇɴᴛᴀᴛɪᴠᴇ sʏᴍʙᴏʟs ғᴏʀ ᴛʜᴇᴍ. Exᴀᴍᴘʟᴇs ɪɴᴄʟᴜᴅᴇ AB→, BC→ ᴀɴᴅ sᴏ ᴏɴ. Sɪɴɢʟᴇ ʟᴇᴛᴛᴇʀs ᴀʟsᴏ ᴡᴏᴜʟᴅ ʙᴇ sᴜɪᴛᴀʙʟᴇ ғᴏʀ ᴛʜɪs ᴘᴜʀᴘᴏsᴇ ʟɪᴋᴇ:

Vᴇʟᴏᴄɪᴛʏ ᴠᴇᴄᴛᴏʀ:ᴠ⃗

Fᴏʀᴄᴇ ᴠᴇᴄᴛᴏʀ: F⃗

Lɪɴᴇᴀʀ ᴍᴏᴍᴇɴᴛᴜᴍ: ᴘ⃗

Aᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ᴠᴇᴄᴛᴏʀ: ᴀ⃗

Gᴇɴᴇʀᴀʟ ʀᴇᴘʀᴇsᴇɴᴛᴀᴛɪᴏɴ

Vᴇᴄᴛᴏʀ ʀᴇᴘʀᴇsᴇɴᴛᴀᴛɪᴏɴ

ᴋ . ʀ ᴋ⃗ ⋅ʀ⃗

E×B E⃗ ×B⃗

▽×ʀ

▽⃗ ×ʀ⃗

ᴠ = 0 ᴠ⃗ =0⃗

ʀ^ ʀ⃗ ^=ʀ^

Rᴇᴘʀᴇsᴇɴᴛᴀᴛɪᴏɴ ᴏғ Tᴡᴏ-Dɪᴍᴇɴsɪᴏɴᴀʟ Vᴇᴄᴛᴏʀs

Tᴡᴏ-ᴅɪᴍᴇɴsɪᴏɴᴀʟ ᴠᴇᴄᴛᴏʀs ᴄᴀɴ ʙᴇ ʀᴇᴘʀᴇsᴇɴᴛᴇᴅ ɪɴ ᴛʜʀᴇᴇ ᴡᴀʏs ᴀs ғᴏʟʟᴏᴡs:

Gᴇᴏᴍᴇᴛʀɪᴄ Rᴇᴘʀᴇsᴇɴᴛᴀᴛɪᴏɴ ᴏғ Vᴇᴄᴛᴏʀs

Iɴ ᴛʜɪs ᴠᴇᴄᴛᴏʀ ʀᴇᴘʀᴇsᴇɴᴛᴀᴛɪᴏɴ, ᴡᴇ ᴜsᴇ ᴀɴ ᴀʀʀᴏᴡ. Tʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴀʀʀᴏᴡ ᴅᴇɴᴏᴛᴇs ᴛʜᴇ ᴍᴀɢɴɪᴛᴜᴅᴇ ᴏғ ᴛʜᴇ ᴠᴇᴄᴛᴏʀ ᴀɴᴅ ᴛʜᴇ ᴅɪʀᴇᴄᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴠᴇᴄᴛᴏʀ ɪs ɪɴᴅɪᴄᴀᴛᴇᴅ ʙʏ ᴛʜᴇ ᴀʀʀᴏᴡʜᴇᴀᴅ.

Gᴇᴏᴍᴇᴛʀɪᴄ Rᴇᴘʀᴇsᴇɴᴛᴀᴛɪᴏɴ ᴏғ Vᴇᴄᴛᴏʀs

Rᴇᴘʀᴇsᴇɴᴛᴀᴛɪᴏɴ ᴏғ Vᴇᴄᴛᴏʀ

Tʜᴇ ᴠᴇᴄᴛᴏʀ sʜᴏᴡɴ ɪɴ ᴛʜᴇ ᴅɪᴀɢʀᴀᴍ ᴄᴀɴ ʙᴇ ᴡʀɪᴛᴛᴇɴ ᴀs OQ→ ᴀɴᴅ ɪᴛs ᴍᴀɢɴɪᴛᴜᴅᴇ ɪs ᴡʀɪᴛᴛᴇɴ ᴀs |OQ|.

Rᴇᴄᴛᴀɴɢᴜʟᴀʀ Nᴏᴛᴀᴛɪᴏɴ

Rᴇᴄᴛᴀɴɢᴜʟᴀʀ Nᴏᴛᴀᴛɪᴏɴ

Rᴇᴄᴛᴀɴɢᴜʟᴀʀ Nᴏᴛᴀᴛɪᴏɴ ᴏғ ᴠᴇᴄᴛᴏʀ

Iɴ ᴛʜɪs ᴛʏᴘᴇ ᴏғ ᴠᴇᴄᴛᴏʀ ʀᴇᴘʀᴇsᴇɴᴛᴀᴛɪᴏɴ, ᴛʜᴇ ᴠᴇᴄᴛᴏʀ ɪs ʟᴏᴄᴀᴛᴇᴅ ɪɴ ᴀ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ᴄᴏᴏʀᴅɪɴᴀᴛᴇ sʏsᴛᴇᴍ, ᴀs ɪʟʟᴜsᴛʀᴀᴛᴇᴅ ʙᴇʟᴏᴡ.

Tʜᴇ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ᴄᴏᴏʀᴅɪɴᴀᴛɪᴏɴ ɴᴏᴛᴀᴛɪᴏɴ ғᴏʀ ᴛʜɪs ᴠᴇᴄᴛᴏʀ ɪs ᴠ⃗ = (6,3). Aɴ ᴀʟᴛᴇʀɴᴀᴛᴇ ɴᴏᴛᴀᴛɪᴏɴ ɪs ᴛʜᴇ ᴜsᴇ ᴏғ ᴛᴡᴏ ᴜɴɪᴛ ᴠᴇᴄᴛᴏʀs ɪ^ = (1,0) ᴀɴᴅ ɪ^ = (0,1) sᴏ ᴛʜᴀᴛ ᴠ=6ɪ^+3ᴊ^

Pᴏʟᴀʀ Nᴏᴛᴀᴛɪᴏɴ

Iɴ ᴛʜᴇ ᴘᴏʟᴀʀ ɴᴏᴛᴀᴛɪᴏɴ, ᴡᴇ sᴘᴇᴄɪғʏ ᴛʜᴇ ᴠᴇᴄᴛᴏʀ ᴍᴀɢɴɪᴛᴜᴅᴇ ʀ, ʀ≥0 ᴀɴᴅ ɪᴛs ᴀɴɢʟᴇ θ ᴡɪᴛʜ ᴛʜᴇ ᴘᴏsɪᴛɪᴠᴇ x-ᴀxɪs.

Eϙᴜᴀʟɪᴛʏ ᴏғ Vᴇᴄᴛᴏʀs

Iғ ᴛʜᴇ ᴅɪʀᴇᴄᴛɪᴏɴs ᴀɴᴅ ᴍᴀɢɴɪᴛᴜᴅᴇs ᴏғ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs ᴀʀᴇ ᴛʜᴇ sᴀᴍᴇ, ᴛʜᴇ ᴠᴇᴄᴛᴏʀs ᴡᴏᴜʟᴅ ʙᴇ ᴇϙᴜᴀʟ ɪɴ ɴᴀᴛᴜʀᴇ. Hᴏᴡᴇᴠᴇʀ, ᴏɴᴇ sʜᴏᴜʟᴅ ʀᴇᴍᴇᴍʙᴇʀ ᴛʜᴀᴛ ᴠᴇᴄᴛᴏʀs ᴏғ ᴛʜᴇ sᴀᴍᴇ ᴘʜʏsɪᴄᴀʟ ϙᴜᴀɴᴛɪᴛʏ ᴀʀᴇ ᴘᴜᴛ ɪɴᴛᴏ ᴄᴏᴍᴘᴀʀɪsᴏɴ. Fᴏʀ ᴇxᴀᴍᴘʟᴇ, ɪᴛ ᴡᴏᴜʟᴅ ʙᴇ ғᴇᴀsɪʙʟᴇ ᴛᴏ ᴄᴏᴍᴘᴀʀᴇ ᴛʜᴇ ғᴏʀᴄᴇ ᴠᴇᴄᴛᴏʀ ᴏғ 5 N ɪɴ ᴘᴏsɪᴛɪᴠᴇ x-ᴀxɪs ᴀɴᴅ ᴠᴇʟᴏᴄɪᴛʏ ᴠᴇᴄᴛᴏʀ ᴏғ 5 ᴍ/s ɪɴ ᴛʜᴇ ᴘᴏsɪᴛɪᴠᴇ x-ᴀxɪs.

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Answer 2

Answer:

Vector notation is a commonly used mathematical notation for working with mathematical vectors, which may be geometric vectors or members of vector spaces

Explanation:

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