Question

explain the geometrical significance of product of two vectors. write their proper line​

Answer 1

Answer:

The product of two non zero vectors is equal to the magnitude of one of them times the projection of the other onto it.

Explanation:

hope this will help you...xD

Answer 2

ᴛʜᴇ ᴄʀᴏss ᴘʀᴏᴅᴜᴄᴛ, ᴀʀᴇᴀ ᴘʀᴏᴅᴜᴄᴛ ᴏʀ ᴛʜᴇ ᴠᴇᴄᴛᴏʀ ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs ɪs ᴀ ʙɪɴᴀʀʏ ᴏᴘᴇʀᴀᴛɪᴏɴ ᴏɴ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs ɪɴ ᴛʜʀᴇᴇ-ᴅɪᴍᴇɴsɪᴏɴᴀʟ sᴘᴀᴄᴇs. ɪᴛ ɪs ᴅᴇɴᴏᴛᴇᴅ ʙʏ ×. ᴛʜᴇ ᴄʀᴏss ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs ɪs ᴀ ᴠᴇᴄᴛᴏʀ.  ʟᴇᴛ ᴜs ᴄᴏɴsɪᴅᴇʀ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs ᴅᴇɴᴏᴛᴇᴅ ᴀs. ʟᴇᴛ ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ (ᴀʟsᴏ ᴀ ᴠᴇᴄᴛᴏʀ) ᴏғ ᴛʜᴇsᴇ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs ʙᴇ ᴅᴇɴᴏᴛᴇᴅ ᴀs.  ᴍᴀɢɴɪᴛᴜᴅᴇ ᴏғ ᴛʜᴇ ᴠᴇᴄᴛᴏʀ ᴘʀᴏᴅᴜᴄᴛ  ᴛʜᴇ ᴍᴀɢɴɪᴛᴜᴅᴇ ᴏғ ᴛʜᴇ ᴠᴇᴄᴛᴏʀ ᴘʀᴏᴅᴜᴄᴛ ɪs ɢɪᴠᴇɴ ᴀs,  ᴍᴀɢɴɪᴛᴜᴅᴇ ᴏғ ᴛʜᴇ ᴠᴇᴄᴛᴏʀ ᴘʀᴏᴅᴜᴄᴛ  ᴡʜᴇʀᴇ ᴀ ᴀɴᴅ ʙ ᴀʀᴇ ᴛʜᴇ ᴍᴀɢɴɪᴛᴜᴅᴇs ᴏғ ᴛʜᴇ ᴠᴇᴄᴛᴏʀ ᴀɴᴅ Ɵ ɪs ᴛʜᴇ ᴀɴɢʟᴇ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇsᴇ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs. ғʀᴏᴍ ᴛʜᴇ ғɪɢᴜʀᴇ, ᴡᴇ ᴄᴀɴ sᴇᴇ ᴛʜᴀᴛ ᴛʜᴇʀᴇ ᴀʀᴇ ᴛᴡᴏ ᴀɴɢʟᴇs ʙᴇᴛᴡᴇᴇɴ ᴀɴʏ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs, ᴛʜᴀᴛ ɪs, Ɵ ᴀɴᴅ (°180 – Ɵ). ɪɴ ᴛʜɪs ʀᴜʟᴇ, ᴡᴇ ᴀʟᴡᴀʏs ᴄᴏɴsɪᴅᴇʀ ᴛʜᴇ sᴍᴀʟʟᴇʀ ᴀɴɢʟᴇ ᴛʜᴀᴛ ɪs ʟᴇss ᴛʜᴀɴ °.  ᴅɪʀᴇᴄᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴠᴇᴄᴛᴏʀ ᴘʀᴏᴅᴜᴄᴛ  ᴅɪʀᴇᴄᴛɪᴏɴ ᴏғ ᴠᴇᴄᴛᴏʀ ᴘʀᴏᴅᴜᴄᴛ  ᴛʜᴇ ʀɪɢʜᴛ-ʜᴀɴᴅ ᴛʜᴜᴍʙ ʀᴜʟᴇ ɪs ᴜsᴇᴅ ɪɴ ᴡʜɪᴄʜ ᴡᴇ ᴄᴜʀʟ ᴜᴘ ᴛʜᴇ ғɪɴɢᴇʀs ᴏғ ʀɪɢʜᴛ ʜᴀɴᴅ ᴀʀᴏᴜɴᴅ ᴀ ʟɪɴᴇ ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ ᴛᴏ ᴛʜᴇ ᴘʟᴀɴᴇ ᴏғ ᴛʜᴇ ᴠᴇᴄᴛᴏʀs ᴀ ᴀɴᴅ ʙ ᴀɴᴅ ᴛʜᴇ ᴄᴜʀʟ ᴛʜᴇ ғɪɴɢᴇʀs ɪɴ ᴛʜᴇ ᴅɪʀᴇᴄᴛɪᴏɴ ғʀᴏᴍ ᴀ ᴛᴏ ʙ, ᴛʜᴇɴ ᴛʜᴇ sᴛʀᴇᴛᴄʜᴇᴅ ᴛʜᴜᴍʙ ᴘᴏɪɴᴛs ɪɴ ᴛʜᴇ ᴅɪʀᴇᴄᴛɪᴏɴ ᴏғ ᴄ.  ᴄᴏᴍᴍᴜᴛᴀᴛɪᴠᴇ ᴘʀᴏᴘᴇʀᴛʏ  ᴜɴʟɪᴋᴇ ᴛʜᴇ sᴄᴀʟᴀʀ ᴘʀᴏᴅᴜᴄᴛ, ᴄʀᴏss ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs ɪs ɴᴏᴛ ᴄᴏᴍᴍᴜᴛᴀᴛɪᴠᴇ ɪɴ ɴᴀᴛᴜʀᴇ.  ᴍᴀᴛʜᴇᴍᴀᴛɪᴄᴀʟʟʏ, ғᴏʀ sᴄᴀʟᴀʀ ᴘʀᴏᴅᴜᴄᴛs ᴄᴏᴍᴍᴜᴛᴀᴛɪᴠᴇ ᴘʀᴏᴘᴇʀᴛʏ  ʙᴜᴛ ғᴏʀ ᴠᴇᴄᴛᴏʀ ᴘʀᴏᴅᴜᴄᴛs  ᴠᴇᴄᴛᴏʀ ᴘʀᴏᴅᴜᴄᴛs  ᴀs ᴡᴇ ᴋɴᴏᴡ, ᴛʜᴇ ᴍᴀɢɴɪᴛᴜᴅᴇ ᴏғ ʙᴏᴛʜ ᴛʜᴇ ᴄʀᴏss ᴘʀᴏᴅᴜᴄᴛs ᴀ × ʙ ᴀɴᴅ ʙ × ᴀ ɪs ᴛʜᴇ sᴀᴍᴇ ᴀɴᴅ ɪs ɢɪᴠᴇɴ ʙʏ ᴀʙsɪɴθ; ʙᴜᴛ ᴛʜᴇ ᴄᴜʀʟɪɴɢ ᴏғ ᴛʜᴇ ʀɪɢʜᴛ-ʜᴀɴᴅ ғɪɴɢᴇʀs ɪɴ ᴄᴀsᴇ ᴏғ ᴀ × ʙ ɪs ғʀᴏᴍ ᴀ ᴛᴏ ʙ, ᴡʜᴇʀᴇᴀs ɪɴ ᴄᴀsᴇ ᴏғ (ʙ × ᴀ) ɪᴛ ɪs ғʀᴏᴍ ʙ ᴛᴏ ᴀ, ᴀs ᴘᴇʀ ᴡʜɪᴄʜ, ᴛʜᴇ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs ᴀʀᴇ ɪɴ ᴏᴘᴘᴏsɪᴛᴇ ᴅɪʀᴇᴄᴛɪᴏɴs.  ᴍᴀᴛʜᴇᴍᴀᴛɪᴄᴀʟʟʏ, ᴠᴇᴄᴛᴏʀ ᴘʀᴏᴅᴜᴄᴛs  ᴅɪsᴛʀɪʙᴜᴛɪᴠᴇ ᴘʀᴏᴘᴇʀᴛʏ  ʟɪᴋᴇ ᴛʜᴇ sᴄᴀʟᴀʀ ᴘʀᴏᴅᴜᴄᴛ, ᴠᴇᴄᴛᴏʀ ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs ɪs ᴀʟsᴏ ᴅɪsᴛʀɪʙᴜᴛɪᴠᴇ ᴡɪᴛʜ ʀᴇsᴘᴇᴄᴛ ᴛᴏ ᴠᴇᴄᴛᴏʀ ᴀᴅᴅɪᴛɪᴏɴ. ᴍᴀᴛʜᴇᴍᴀᴛɪᴄᴀʟʟʏ, ᴅɪsᴛʀɪʙᴜᴛɪᴠᴇ ᴘʀᴏᴘᴇʀᴛʏ  ɪɴ ᴏʀᴅᴇʀ ᴛᴏ ᴅᴇᴀʟ ᴡɪᴛʜ ᴛʜᴇ ᴠᴇᴄᴛᴏʀ ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴀɴʏ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs, ᴡᴇ ɴᴇᴇᴅ ᴛᴏ ᴋɴᴏᴡ ᴛʜᴇ ᴠᴇᴄᴛᴏʀ ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛᴡᴏ ᴇʟᴇᴍᴇɴᴛᴀʀʏ ᴠᴇᴄᴛᴏʀs.

brainly answer from :- https://brainly.in/question/29649208